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Finding the Fourth Proportional to 541,471.32, 747,221.04 and 299,748.60

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Solution

The fourth proportional to 541,471.32, 747,221.04 and 299,748.60 is: 413,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,471.32 : 747,221.04 = 299,748.60 : x
  2. Step 2: Convert to fraction form
    541,471.32/747,221.04 = 299,748.60/x
  3. Step 3: Cross multiply
    541,471.32x = 747,221.04 × 299,748.60
  4. Step 4: Simplify right side
    541,471.32x = 223,978,460,630.54
  5. Step 5: Solve for x
    x = 223,978,460,630.54/541,471.32
  6. Step 6: Final answer
    x = 413,647.87

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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.