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Finding the Fourth Proportional to 474,881.52, 712,359.12 and 137,927.60

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Solution

The fourth proportional to 474,881.52, 712,359.12 and 137,927.60 is: 206,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,881.52 : 712,359.12 = 137,927.60 : x
  2. Step 2: Convert to fraction form
    474,881.52/712,359.12 = 137,927.60/x
  3. Step 3: Cross multiply
    474,881.52x = 712,359.12 × 137,927.60
  4. Step 4: Simplify right side
    474,881.52x = 98,253,983,759.71
  5. Step 5: Solve for x
    x = 98,253,983,759.71/474,881.52
  6. Step 6: Final answer
    x = 206,902.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.