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Finding the Fourth Proportional to 392,972.02, 542,301.41 and 214,124.02

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Solution

The fourth proportional to 392,972.02, 542,301.41 and 214,124.02 is: 295,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,972.02 : 542,301.41 = 214,124.02 : x
  2. Step 2: Convert to fraction form
    392,972.02/542,301.41 = 214,124.02/x
  3. Step 3: Cross multiply
    392,972.02x = 542,301.41 × 214,124.02
  4. Step 4: Simplify right side
    392,972.02x = 116,119,757,960.87
  5. Step 5: Solve for x
    x = 116,119,757,960.87/392,972.02
  6. Step 6: Final answer
    x = 295,491.16

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Why These Related Problems?

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