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Finding the Fourth Proportional to 392,854.08, 542,138.72 and 214,006.08

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Solution

The fourth proportional to 392,854.08, 542,138.72 and 214,006.08 is: 295,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,854.08 : 542,138.72 = 214,006.08 : x
  2. Step 2: Convert to fraction form
    392,854.08/542,138.72 = 214,006.08/x
  3. Step 3: Cross multiply
    392,854.08x = 542,138.72 × 214,006.08
  4. Step 4: Simplify right side
    392,854.08x = 116,020,982,283.42
  5. Step 5: Solve for x
    x = 116,020,982,283.42/392,854.08
  6. Step 6: Final answer
    x = 295,328.44

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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.