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Finding the Fourth Proportional to 524,712.48, 724,099.88 and 298,358

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Solution

The fourth proportional to 524,712.48, 724,099.88 and 298,358 is: 411,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,712.48 : 724,099.88 = 298,358 : x
  2. Step 2: Convert to fraction form
    524,712.48/724,099.88 = 298,358/x
  3. Step 3: Cross multiply
    524,712.48x = 724,099.88 × 298,358
  4. Step 4: Simplify right side
    524,712.48x = 216,040,991,997.04
  5. Step 5: Solve for x
    x = 216,040,991,997.04/524,712.48
  6. Step 6: Final answer
    x = 411,732.14

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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.