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Finding the Fourth Proportional to 442,962.30, 664,443.45 and 265,377.90

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Solution

The fourth proportional to 442,962.30, 664,443.45 and 265,377.90 is: 398,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,962.30 : 664,443.45 = 265,377.90 : x
  2. Step 2: Convert to fraction form
    442,962.30/664,443.45 = 265,377.90/x
  3. Step 3: Cross multiply
    442,962.30x = 664,443.45 × 265,377.90
  4. Step 4: Simplify right side
    442,962.30x = 176,328,607,429.76
  5. Step 5: Solve for x
    x = 176,328,607,429.76/442,962.30
  6. Step 6: Final answer
    x = 398,066.85

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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.