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Finding the Fourth Proportional to 576,223.20, 862,585.20 and 513,237.60

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Solution

The fourth proportional to 576,223.20, 862,585.20 and 513,237.60 is: 768,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,223.20 : 862,585.20 = 513,237.60 : x
  2. Step 2: Convert to fraction form
    576,223.20/862,585.20 = 513,237.60/x
  3. Step 3: Cross multiply
    576,223.20x = 862,585.20 × 513,237.60
  4. Step 4: Simplify right side
    576,223.20x = 442,711,157,843.52
  5. Step 5: Solve for x
    x = 442,711,157,843.52/576,223.20
  6. Step 6: Final answer
    x = 768,298.04

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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.