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Finding the Fourth Proportional to 466,068.80, 698,642.40 and 185,211.20

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Solution

The fourth proportional to 466,068.80, 698,642.40 and 185,211.20 is: 277,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,068.80 : 698,642.40 = 185,211.20 : x
  2. Step 2: Convert to fraction form
    466,068.80/698,642.40 = 185,211.20/x
  3. Step 3: Cross multiply
    466,068.80x = 698,642.40 × 185,211.20
  4. Step 4: Simplify right side
    466,068.80x = 129,396,397,274.88
  5. Step 5: Solve for x
    x = 129,396,397,274.88/466,068.80
  6. Step 6: Final answer
    x = 277,633.68

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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.