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Finding the Fourth Proportional to 469,026.88, 703,532.87 and 149,174.13

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Solution

The fourth proportional to 469,026.88, 703,532.87 and 149,174.13 is: 223,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,026.88 : 703,532.87 = 149,174.13 : x
  2. Step 2: Convert to fraction form
    469,026.88/703,532.87 = 149,174.13/x
  3. Step 3: Cross multiply
    469,026.88x = 703,532.87 × 149,174.13
  4. Step 4: Simplify right side
    469,026.88x = 104,948,903,062.78
  5. Step 5: Solve for x
    x = 104,948,903,062.78/469,026.88
  6. Step 6: Final answer
    x = 223,758.83

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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.