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Finding the Fourth Proportional to 482,990.91, 724,512 and 146,022.96

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Solution

The fourth proportional to 482,990.91, 724,512 and 146,022.96 is: 219,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,990.91 : 724,512 = 146,022.96 : x
  2. Step 2: Convert to fraction form
    482,990.91/724,512 = 146,022.96/x
  3. Step 3: Cross multiply
    482,990.91x = 724,512 × 146,022.96
  4. Step 4: Simplify right side
    482,990.91x = 105,795,386,795.52
  5. Step 5: Solve for x
    x = 105,795,386,795.52/482,990.91
  6. Step 6: Final answer
    x = 219,042.19

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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.