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Finding the Fourth Proportional to 461,005.68, 691,592.22 and 224,348.52

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Solution

The fourth proportional to 461,005.68, 691,592.22 and 224,348.52 is: 336,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,005.68 : 691,592.22 = 224,348.52 : x
  2. Step 2: Convert to fraction form
    461,005.68/691,592.22 = 224,348.52/x
  3. Step 3: Cross multiply
    461,005.68x = 691,592.22 × 224,348.52
  4. Step 4: Simplify right side
    461,005.68x = 155,157,691,000.51
  5. Step 5: Solve for x
    x = 155,157,691,000.51/461,005.68
  6. Step 6: Final answer
    x = 336,563.51

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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.