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Finding the Fourth Proportional to 392,981.52, 542,314.50 and 214,133.52

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Solution

The fourth proportional to 392,981.52, 542,314.50 and 214,133.52 is: 295,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,981.52 : 542,314.50 = 214,133.52 : x
  2. Step 2: Convert to fraction form
    392,981.52/542,314.50 = 214,133.52/x
  3. Step 3: Cross multiply
    392,981.52x = 542,314.50 × 214,133.52
  4. Step 4: Simplify right side
    392,981.52x = 116,127,712,832.04
  5. Step 5: Solve for x
    x = 116,127,712,832.04/392,981.52
  6. Step 6: Final answer
    x = 295,504.26

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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.