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Finding the Fourth Proportional to 442,649.60, 664,184.46 and 229,377.65

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Solution

The fourth proportional to 442,649.60, 664,184.46 and 229,377.65 is: 344,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,649.60 : 664,184.46 = 229,377.65 : x
  2. Step 2: Convert to fraction form
    442,649.60/664,184.46 = 229,377.65/x
  3. Step 3: Cross multiply
    442,649.60x = 664,184.46 × 229,377.65
  4. Step 4: Simplify right side
    442,649.60x = 152,349,068,718.33
  5. Step 5: Solve for x
    x = 152,349,068,718.33/442,649.60
  6. Step 6: Final answer
    x = 344,175.32

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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.