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Finding the Fourth Proportional to 509,225.80, 763,838.70 and 256,408.60

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Solution

The fourth proportional to 509,225.80, 763,838.70 and 256,408.60 is: 384,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,225.80 : 763,838.70 = 256,408.60 : x
  2. Step 2: Convert to fraction form
    509,225.80/763,838.70 = 256,408.60/x
  3. Step 3: Cross multiply
    509,225.80x = 763,838.70 × 256,408.60
  4. Step 4: Simplify right side
    509,225.80x = 195,854,811,692.82
  5. Step 5: Solve for x
    x = 195,854,811,692.82/509,225.80
  6. Step 6: Final answer
    x = 384,612.90

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.