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Finding the Fourth Proportional to 402,562.90, 564,417.50 and 402,562.90

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Solution

The fourth proportional to 402,562.90, 564,417.50 and 402,562.90 is: 564,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,562.90 : 564,417.50 = 402,562.90 : x
  2. Step 2: Convert to fraction form
    402,562.90/564,417.50 = 402,562.90/x
  3. Step 3: Cross multiply
    402,562.90x = 564,417.50 × 402,562.90
  4. Step 4: Simplify right side
    402,562.90x = 227,213,545,610.75
  5. Step 5: Solve for x
    x = 227,213,545,610.75/402,562.90
  6. Step 6: Final answer
    x = 564,417.50

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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.