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Finding the Fourth Proportional to 393,432.54, 542,916.63 and 214,549.98

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Solution

The fourth proportional to 393,432.54, 542,916.63 and 214,549.98 is: 296,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,432.54 : 542,916.63 = 214,549.98 : x
  2. Step 2: Convert to fraction form
    393,432.54/542,916.63 = 214,549.98/x
  3. Step 3: Cross multiply
    393,432.54x = 542,916.63 × 214,549.98
  4. Step 4: Simplify right side
    393,432.54x = 116,482,752,108.17
  5. Step 5: Solve for x
    x = 116,482,752,108.17/393,432.54
  6. Step 6: Final answer
    x = 296,067.92

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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.