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Finding the Fourth Proportional to 482,964.60, 724,446.90 and 305,671.80

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Solution

The fourth proportional to 482,964.60, 724,446.90 and 305,671.80 is: 458,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,964.60 : 724,446.90 = 305,671.80 : x
  2. Step 2: Convert to fraction form
    482,964.60/724,446.90 = 305,671.80/x
  3. Step 3: Cross multiply
    482,964.60x = 724,446.90 × 305,671.80
  4. Step 4: Simplify right side
    482,964.60x = 221,442,987,927.42
  5. Step 5: Solve for x
    x = 221,442,987,927.42/482,964.60
  6. Step 6: Final answer
    x = 458,507.70

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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.