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Finding the Fourth Proportional to 392,966.91, 542,294.34 and 214,118.91

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Solution

The fourth proportional to 392,966.91, 542,294.34 and 214,118.91 is: 295,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,966.91 : 542,294.34 = 214,118.91 : x
  2. Step 2: Convert to fraction form
    392,966.91/542,294.34 = 214,118.91/x
  3. Step 3: Cross multiply
    392,966.91x = 542,294.34 × 214,118.91
  4. Step 4: Simplify right side
    392,966.91x = 116,115,472,979.97
  5. Step 5: Solve for x
    x = 116,115,472,979.97/392,966.91
  6. Step 6: Final answer
    x = 295,484.10

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