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Finding the Fourth Proportional to 466,046.40, 699,069.60 and 185,419.20

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Solution

The fourth proportional to 466,046.40, 699,069.60 and 185,419.20 is: 278,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,046.40 : 699,069.60 = 185,419.20 : x
  2. Step 2: Convert to fraction form
    466,046.40/699,069.60 = 185,419.20/x
  3. Step 3: Cross multiply
    466,046.40x = 699,069.60 × 185,419.20
  4. Step 4: Simplify right side
    466,046.40x = 129,620,925,976.32
  5. Step 5: Solve for x
    x = 129,620,925,976.32/466,046.40
  6. Step 6: Final answer
    x = 278,128.80

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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.