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Finding the Fourth Proportional to 410,115.60, 614,906.10 and 368,125.20

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Solution

The fourth proportional to 410,115.60, 614,906.10 and 368,125.20 is: 551,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,115.60 : 614,906.10 = 368,125.20 : x
  2. Step 2: Convert to fraction form
    410,115.60/614,906.10 = 368,125.20/x
  3. Step 3: Cross multiply
    410,115.60x = 614,906.10 × 368,125.20
  4. Step 4: Simplify right side
    410,115.60x = 226,362,431,043.72
  5. Step 5: Solve for x
    x = 226,362,431,043.72/410,115.60
  6. Step 6: Final answer
    x = 551,947.87

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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.