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Finding the Fourth Proportional to 392,972.16, 542,301.57 and 214,124.16

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Solution

The fourth proportional to 392,972.16, 542,301.57 and 214,124.16 is: 295,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,972.16 : 542,301.57 = 214,124.16 : x
  2. Step 2: Convert to fraction form
    392,972.16/542,301.57 = 214,124.16/x
  3. Step 3: Cross multiply
    392,972.16x = 542,301.57 × 214,124.16
  4. Step 4: Simplify right side
    392,972.16x = 116,119,868,142.93
  5. Step 5: Solve for x
    x = 116,119,868,142.93/392,972.16
  6. Step 6: Final answer
    x = 295,491.33

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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.