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Finding the Fourth Proportional to 541,909.94, 747,825.92 and 300,191.76

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Solution

The fourth proportional to 541,909.94, 747,825.92 and 300,191.76 is: 414,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,909.94 : 747,825.92 = 300,191.76 : x
  2. Step 2: Convert to fraction form
    541,909.94/747,825.92 = 300,191.76/x
  3. Step 3: Cross multiply
    541,909.94x = 747,825.92 × 300,191.76
  4. Step 4: Simplify right side
    541,909.94x = 224,491,177,597.46
  5. Step 5: Solve for x
    x = 224,491,177,597.46/541,909.94
  6. Step 6: Final answer
    x = 414,259.20

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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.