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Finding the Fourth Proportional to 291,827.49, 437,793.08 and 99,691.44

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Solution

The fourth proportional to 291,827.49, 437,793.08 and 99,691.44 is: 149,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,827.49 : 437,793.08 = 99,691.44 : x
  2. Step 2: Convert to fraction form
    291,827.49/437,793.08 = 99,691.44/x
  3. Step 3: Cross multiply
    291,827.49x = 437,793.08 × 99,691.44
  4. Step 4: Simplify right side
    291,827.49x = 43,644,222,068.78
  5. Step 5: Solve for x
    x = 43,644,222,068.78/291,827.49
  6. Step 6: Final answer
    x = 149,554.87

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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.