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Finding the Fourth Proportional to 442,919.60, 664,379.40 and 413,176.40

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Solution

The fourth proportional to 442,919.60, 664,379.40 and 413,176.40 is: 619,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,919.60 : 664,379.40 = 413,176.40 : x
  2. Step 2: Convert to fraction form
    442,919.60/664,379.40 = 413,176.40/x
  3. Step 3: Cross multiply
    442,919.60x = 664,379.40 × 413,176.40
  4. Step 4: Simplify right side
    442,919.60x = 274,505,888,726.16
  5. Step 5: Solve for x
    x = 274,505,888,726.16/442,919.60
  6. Step 6: Final answer
    x = 619,764.60

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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.