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Finding the Fourth Proportional to 488,641.32, 733,115.04 and 147,098.28

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Solution

The fourth proportional to 488,641.32, 733,115.04 and 147,098.28 is: 220,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,641.32 : 733,115.04 = 147,098.28 : x
  2. Step 2: Convert to fraction form
    488,641.32/733,115.04 = 147,098.28/x
  3. Step 3: Cross multiply
    488,641.32x = 733,115.04 × 147,098.28
  4. Step 4: Simplify right side
    488,641.32x = 107,839,961,426.13
  5. Step 5: Solve for x
    x = 107,839,961,426.13/488,641.32
  6. Step 6: Final answer
    x = 220,693.50

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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.