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Finding the Fourth Proportional to 520,098.20, 730,237 and 520,098.20

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Solution

The fourth proportional to 520,098.20, 730,237 and 520,098.20 is: 730,237

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.20 : 730,237 = 520,098.20 : x
  2. Step 2: Convert to fraction form
    520,098.20/730,237 = 520,098.20/x
  3. Step 3: Cross multiply
    520,098.20x = 730,237 × 520,098.20
  4. Step 4: Simplify right side
    520,098.20x = 379,794,949,273.40
  5. Step 5: Solve for x
    x = 379,794,949,273.40/520,098.20
  6. Step 6: Final answer
    x = 730,237

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.