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Finding the Fourth Proportional to 410,055.60, 615,083.40 and 344,737.20

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Solution

The fourth proportional to 410,055.60, 615,083.40 and 344,737.20 is: 517,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,055.60 : 615,083.40 = 344,737.20 : x
  2. Step 2: Convert to fraction form
    410,055.60/615,083.40 = 344,737.20/x
  3. Step 3: Cross multiply
    410,055.60x = 615,083.40 × 344,737.20
  4. Step 4: Simplify right side
    410,055.60x = 212,042,129,082.48
  5. Step 5: Solve for x
    x = 212,042,129,082.48/410,055.60
  6. Step 6: Final answer
    x = 517,105.80

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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.