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Finding the Fourth Proportional to 542,032.92, 813,326.94 and 258,044.76

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Solution

The fourth proportional to 542,032.92, 813,326.94 and 258,044.76 is: 387,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,032.92 : 813,326.94 = 258,044.76 : x
  2. Step 2: Convert to fraction form
    542,032.92/813,326.94 = 258,044.76/x
  3. Step 3: Cross multiply
    542,032.92x = 813,326.94 × 258,044.76
  4. Step 4: Simplify right side
    542,032.92x = 209,874,755,033.83
  5. Step 5: Solve for x
    x = 209,874,755,033.83/542,032.92
  6. Step 6: Final answer
    x = 387,199.28

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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.