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Finding the Fourth Proportional to 482,647.60, 724,230.60 and 202,193.20

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Solution

The fourth proportional to 482,647.60, 724,230.60 and 202,193.20 is: 303,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,647.60 : 724,230.60 = 202,193.20 : x
  2. Step 2: Convert to fraction form
    482,647.60/724,230.60 = 202,193.20/x
  3. Step 3: Cross multiply
    482,647.60x = 724,230.60 × 202,193.20
  4. Step 4: Simplify right side
    482,647.60x = 146,434,502,551.92
  5. Step 5: Solve for x
    x = 146,434,502,551.92/482,647.60
  6. Step 6: Final answer
    x = 303,398.39

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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.