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Finding the Fourth Proportional to 482,810.30, 724,301.85 and 202,355.90

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Solution

The fourth proportional to 482,810.30, 724,301.85 and 202,355.90 is: 303,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,810.30 : 724,301.85 = 202,355.90 : x
  2. Step 2: Convert to fraction form
    482,810.30/724,301.85 = 202,355.90/x
  3. Step 3: Cross multiply
    482,810.30x = 724,301.85 × 202,355.90
  4. Step 4: Simplify right side
    482,810.30x = 146,566,752,728.42
  5. Step 5: Solve for x
    x = 146,566,752,728.42/482,810.30
  6. Step 6: Final answer
    x = 303,570.06

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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.