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Finding the Fourth Proportional to 524,414.92, 723,687.33 and 291,837.92

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Solution

The fourth proportional to 524,414.92, 723,687.33 and 291,837.92 is: 402,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,414.92 : 723,687.33 = 291,837.92 : x
  2. Step 2: Convert to fraction form
    524,414.92/723,687.33 = 291,837.92/x
  3. Step 3: Cross multiply
    524,414.92x = 723,687.33 × 291,837.92
  4. Step 4: Simplify right side
    524,414.92x = 211,199,408,196.18
  5. Step 5: Solve for x
    x = 211,199,408,196.18/524,414.92
  6. Step 6: Final answer
    x = 402,733.41

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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.