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Finding the Fourth Proportional to 482,633.60, 724,209.60 and 202,179.20

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Solution

The fourth proportional to 482,633.60, 724,209.60 and 202,179.20 is: 303,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,633.60 : 724,209.60 = 202,179.20 : x
  2. Step 2: Convert to fraction form
    482,633.60/724,209.60 = 202,179.20/x
  3. Step 3: Cross multiply
    482,633.60x = 724,209.60 × 202,179.20
  4. Step 4: Simplify right side
    482,633.60x = 146,420,117,560.32
  5. Step 5: Solve for x
    x = 146,420,117,560.32/482,633.60
  6. Step 6: Final answer
    x = 303,377.38

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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.