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Finding the Fourth Proportional to 524,711.48, 724,098.50 and 298,357

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Solution

The fourth proportional to 524,711.48, 724,098.50 and 298,357 is: 411,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,711.48 : 724,098.50 = 298,357 : x
  2. Step 2: Convert to fraction form
    524,711.48/724,098.50 = 298,357/x
  3. Step 3: Cross multiply
    524,711.48x = 724,098.50 × 298,357
  4. Step 4: Simplify right side
    524,711.48x = 216,039,856,164.50
  5. Step 5: Solve for x
    x = 216,039,856,164.50/524,711.48
  6. Step 6: Final answer
    x = 411,730.76

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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.