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Finding the Fourth Proportional to 541,729.56, 747,711.20 and 360,449.12

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Solution

The fourth proportional to 541,729.56, 747,711.20 and 360,449.12 is: 497,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,729.56 : 747,711.20 = 360,449.12 : x
  2. Step 2: Convert to fraction form
    541,729.56/747,711.20 = 360,449.12/x
  3. Step 3: Cross multiply
    541,729.56x = 747,711.20 × 360,449.12
  4. Step 4: Simplify right side
    541,729.56x = 269,511,844,054.14
  5. Step 5: Solve for x
    x = 269,511,844,054.14/541,729.56
  6. Step 6: Final answer
    x = 497,502.56

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1.5x scale

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.