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Finding the Fourth Proportional to 462,717.52, 638,545.68 and 258,766.12

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Solution

The fourth proportional to 462,717.52, 638,545.68 and 258,766.12 is: 357,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,717.52 : 638,545.68 = 258,766.12 : x
  2. Step 2: Convert to fraction form
    462,717.52/638,545.68 = 258,766.12/x
  3. Step 3: Cross multiply
    462,717.52x = 638,545.68 × 258,766.12
  4. Step 4: Simplify right side
    462,717.52x = 165,233,988,056.36
  5. Step 5: Solve for x
    x = 165,233,988,056.36/462,717.52
  6. Step 6: Final answer
    x = 357,094.73

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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.