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Finding the Fourth Proportional to 541,642.75, 747,457.87 and 299,920.13

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Solution

The fourth proportional to 541,642.75, 747,457.87 and 299,920.13 is: 413,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642.75 : 747,457.87 = 299,920.13 : x
  2. Step 2: Convert to fraction form
    541,642.75/747,457.87 = 299,920.13/x
  3. Step 3: Cross multiply
    541,642.75x = 747,457.87 × 299,920.13
  4. Step 4: Simplify right side
    541,642.75x = 224,177,663,779.08
  5. Step 5: Solve for x
    x = 224,177,663,779.08/541,642.75
  6. Step 6: Final answer
    x = 413,884.73

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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.