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Finding the Fourth Proportional to 491,412.38, 737,122.64 and 136,454.04

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Solution

The fourth proportional to 491,412.38, 737,122.64 and 136,454.04 is: 204,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,412.38 : 737,122.64 = 136,454.04 : x
  2. Step 2: Convert to fraction form
    491,412.38/737,122.64 = 136,454.04/x
  3. Step 3: Cross multiply
    491,412.38x = 737,122.64 × 136,454.04
  4. Step 4: Simplify right side
    491,412.38x = 100,583,361,521.20
  5. Step 5: Solve for x
    x = 100,583,361,521.20/491,412.38
  6. Step 6: Final answer
    x = 204,682.19

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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.