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Finding the Fourth Proportional to 442,909.80, 664,364.70 and 408,695.40

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Solution

The fourth proportional to 442,909.80, 664,364.70 and 408,695.40 is: 613,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,909.80 : 664,364.70 = 408,695.40 : x
  2. Step 2: Convert to fraction form
    442,909.80/664,364.70 = 408,695.40/x
  3. Step 3: Cross multiply
    442,909.80x = 664,364.70 × 408,695.40
  4. Step 4: Simplify right side
    442,909.80x = 271,522,796,812.38
  5. Step 5: Solve for x
    x = 271,522,796,812.38/442,909.80
  6. Step 6: Final answer
    x = 613,043.10

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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.