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Finding the Fourth Proportional to 541,583.96, 747,409.20 and 299,866.52

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Solution

The fourth proportional to 541,583.96, 747,409.20 and 299,866.52 is: 413,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,583.96 : 747,409.20 = 299,866.52 : x
  2. Step 2: Convert to fraction form
    541,583.96/747,409.20 = 299,866.52/x
  3. Step 3: Cross multiply
    541,583.96x = 747,409.20 × 299,866.52
  4. Step 4: Simplify right side
    541,583.96x = 224,122,995,819.98
  5. Step 5: Solve for x
    x = 224,122,995,819.98/541,583.96
  6. Step 6: Final answer
    x = 413,828.72

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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.