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Finding the Fourth Proportional to 524,806.62, 724,249.11 and 298,484.70

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Solution

The fourth proportional to 524,806.62, 724,249.11 and 298,484.70 is: 411,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,806.62 : 724,249.11 = 298,484.70 : x
  2. Step 2: Convert to fraction form
    524,806.62/724,249.11 = 298,484.70/x
  3. Step 3: Cross multiply
    524,806.62x = 724,249.11 × 298,484.70
  4. Step 4: Simplify right side
    524,806.62x = 216,177,278,323.62
  5. Step 5: Solve for x
    x = 216,177,278,323.62/524,806.62
  6. Step 6: Final answer
    x = 411,917.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.