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Finding the Fourth Proportional to 541,581.96, 747,406.44 and 299,864.52

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Solution

The fourth proportional to 541,581.96, 747,406.44 and 299,864.52 is: 413,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,581.96 : 747,406.44 = 299,864.52 : x
  2. Step 2: Convert to fraction form
    541,581.96/747,406.44 = 299,864.52/x
  3. Step 3: Cross multiply
    541,581.96x = 747,406.44 × 299,864.52
  4. Step 4: Simplify right side
    541,581.96x = 224,120,673,375.51
  5. Step 5: Solve for x
    x = 224,120,673,375.51/541,581.96
  6. Step 6: Final answer
    x = 413,825.96

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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.