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Finding the Fourth Proportional to 576,109.60, 864,423.60 and 202,400.80

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Solution

The fourth proportional to 576,109.60, 864,423.60 and 202,400.80 is: 303,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,109.60 : 864,423.60 = 202,400.80 : x
  2. Step 2: Convert to fraction form
    576,109.60/864,423.60 = 202,400.80/x
  3. Step 3: Cross multiply
    576,109.60x = 864,423.60 × 202,400.80
  4. Step 4: Simplify right side
    576,109.60x = 174,960,028,178.88
  5. Step 5: Solve for x
    x = 174,960,028,178.88/576,109.60
  6. Step 6: Final answer
    x = 303,692.26

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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.