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Finding the Fourth Proportional to 482,898.82, 724,486.47 and 233,721.22

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Solution

The fourth proportional to 482,898.82, 724,486.47 and 233,721.22 is: 350,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,898.82 : 724,486.47 = 233,721.22 : x
  2. Step 2: Convert to fraction form
    482,898.82/724,486.47 = 233,721.22/x
  3. Step 3: Cross multiply
    482,898.82x = 724,486.47 × 233,721.22
  4. Step 4: Simplify right side
    482,898.82x = 169,327,861,641.89
  5. Step 5: Solve for x
    x = 169,327,861,641.89/482,898.82
  6. Step 6: Final answer
    x = 350,648.74

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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.