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Finding the Fourth Proportional to 442,896.60, 664,344.90 and 413,153.40

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Solution

The fourth proportional to 442,896.60, 664,344.90 and 413,153.40 is: 619,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.60 : 664,344.90 = 413,153.40 : x
  2. Step 2: Convert to fraction form
    442,896.60/664,344.90 = 413,153.40/x
  3. Step 3: Cross multiply
    442,896.60x = 664,344.90 × 413,153.40
  4. Step 4: Simplify right side
    442,896.60x = 274,476,354,207.66
  5. Step 5: Solve for x
    x = 274,476,354,207.66/442,896.60
  6. Step 6: Final answer
    x = 619,730.10

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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.