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Finding the Fourth Proportional to 462,729.52, 638,562.24 and 258,778.12

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Solution

The fourth proportional to 462,729.52, 638,562.24 and 258,778.12 is: 357,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,729.52 : 638,562.24 = 258,778.12 : x
  2. Step 2: Convert to fraction form
    462,729.52/638,562.24 = 258,778.12/x
  3. Step 3: Cross multiply
    462,729.52x = 638,562.24 × 258,778.12
  4. Step 4: Simplify right side
    462,729.52x = 165,245,935,970.19
  5. Step 5: Solve for x
    x = 165,245,935,970.19/462,729.52
  6. Step 6: Final answer
    x = 357,111.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.