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Finding the Fourth Proportional to 509,000.20, 763,500.30 and 397,025.80

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Solution

The fourth proportional to 509,000.20, 763,500.30 and 397,025.80 is: 595,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,000.20 : 763,500.30 = 397,025.80 : x
  2. Step 2: Convert to fraction form
    509,000.20/763,500.30 = 397,025.80/x
  3. Step 3: Cross multiply
    509,000.20x = 763,500.30 × 397,025.80
  4. Step 4: Simplify right side
    509,000.20x = 303,129,317,407.74
  5. Step 5: Solve for x
    x = 303,129,317,407.74/509,000.20
  6. Step 6: Final answer
    x = 595,538.70

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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.