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Finding the Fourth Proportional to 541,406.91, 747,132.49 and 299,684.29

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Solution

The fourth proportional to 541,406.91, 747,132.49 and 299,684.29 is: 413,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,406.91 : 747,132.49 = 299,684.29 : x
  2. Step 2: Convert to fraction form
    541,406.91/747,132.49 = 299,684.29/x
  3. Step 3: Cross multiply
    541,406.91x = 747,132.49 × 299,684.29
  4. Step 4: Simplify right side
    541,406.91x = 223,903,869,801.58
  5. Step 5: Solve for x
    x = 223,903,869,801.58/541,406.91
  6. Step 6: Final answer
    x = 413,559.31

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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.