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Finding the Fourth Proportional to 461,285.64, 691,422.94 and 180,494.28

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Solution

The fourth proportional to 461,285.64, 691,422.94 and 180,494.28 is: 270,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,285.64 : 691,422.94 = 180,494.28 : x
  2. Step 2: Convert to fraction form
    461,285.64/691,422.94 = 180,494.28/x
  3. Step 3: Cross multiply
    461,285.64x = 691,422.94 × 180,494.28
  4. Step 4: Simplify right side
    461,285.64x = 124,797,885,730.78
  5. Step 5: Solve for x
    x = 124,797,885,730.78/461,285.64
  6. Step 6: Final answer
    x = 270,543.62

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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.