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Finding the Fourth Proportional to 431,727.80, 647,591.70 and 413,065.40

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Solution

The fourth proportional to 431,727.80, 647,591.70 and 413,065.40 is: 619,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,727.80 : 647,591.70 = 413,065.40 : x
  2. Step 2: Convert to fraction form
    431,727.80/647,591.70 = 413,065.40/x
  3. Step 3: Cross multiply
    431,727.80x = 647,591.70 × 413,065.40
  4. Step 4: Simplify right side
    431,727.80x = 267,497,724,597.18
  5. Step 5: Solve for x
    x = 267,497,724,597.18/431,727.80
  6. Step 6: Final answer
    x = 619,598.10

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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.