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Finding the Fourth Proportional to 541,709.44, 747,561.12 and 299,986.72

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Solution

The fourth proportional to 541,709.44, 747,561.12 and 299,986.72 is: 413,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,709.44 : 747,561.12 = 299,986.72 : x
  2. Step 2: Convert to fraction form
    541,709.44/747,561.12 = 299,986.72/x
  3. Step 3: Cross multiply
    541,709.44x = 747,561.12 × 299,986.72
  4. Step 4: Simplify right side
    541,709.44x = 224,258,408,388.33
  5. Step 5: Solve for x
    x = 224,258,408,388.33/541,709.44
  6. Step 6: Final answer
    x = 413,982.83

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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.