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Finding the Fourth Proportional to 461,322.80, 691,854.60 and 145,876.40

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Solution

The fourth proportional to 461,322.80, 691,854.60 and 145,876.40 is: 218,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,322.80 : 691,854.60 = 145,876.40 : x
  2. Step 2: Convert to fraction form
    461,322.80/691,854.60 = 145,876.40/x
  3. Step 3: Cross multiply
    461,322.80x = 691,854.60 × 145,876.40
  4. Step 4: Simplify right side
    461,322.80x = 100,925,258,371.44
  5. Step 5: Solve for x
    x = 100,925,258,371.44/461,322.80
  6. Step 6: Final answer
    x = 218,773.62

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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.