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Finding the Fourth Proportional to 482,707.60, 724,320.60 and 202,253.20

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Solution

The fourth proportional to 482,707.60, 724,320.60 and 202,253.20 is: 303,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,707.60 : 724,320.60 = 202,253.20 : x
  2. Step 2: Convert to fraction form
    482,707.60/724,320.60 = 202,253.20/x
  3. Step 3: Cross multiply
    482,707.60x = 724,320.60 × 202,253.20
  4. Step 4: Simplify right side
    482,707.60x = 146,496,159,175.92
  5. Step 5: Solve for x
    x = 146,496,159,175.92/482,707.60
  6. Step 6: Final answer
    x = 303,488.40

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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.