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Finding the Fourth Proportional to 524,348.92, 723,663.06 and 298,028.44

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Solution

The fourth proportional to 524,348.92, 723,663.06 and 298,028.44 is: 411,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,348.92 : 723,663.06 = 298,028.44 : x
  2. Step 2: Convert to fraction form
    524,348.92/723,663.06 = 298,028.44/x
  3. Step 3: Cross multiply
    524,348.92x = 723,663.06 × 298,028.44
  4. Step 4: Simplify right side
    524,348.92x = 215,672,172,857.43
  5. Step 5: Solve for x
    x = 215,672,172,857.43/524,348.92
  6. Step 6: Final answer
    x = 411,314.23

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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.