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Finding the Fourth Proportional to 460,205.70, 690,308.55 and 127,781.70

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Solution

The fourth proportional to 460,205.70, 690,308.55 and 127,781.70 is: 191,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,205.70 : 690,308.55 = 127,781.70 : x
  2. Step 2: Convert to fraction form
    460,205.70/690,308.55 = 127,781.70/x
  3. Step 3: Cross multiply
    460,205.70x = 690,308.55 × 127,781.70
  4. Step 4: Simplify right side
    460,205.70x = 88,208,800,043.54
  5. Step 5: Solve for x
    x = 88,208,800,043.54/460,205.70
  6. Step 6: Final answer
    x = 191,672.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.