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Finding the Fourth Proportional to 458,833.20, 688,249.80 and 299,400.90

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Solution

The fourth proportional to 458,833.20, 688,249.80 and 299,400.90 is: 449,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,833.20 : 688,249.80 = 299,400.90 : x
  2. Step 2: Convert to fraction form
    458,833.20/688,249.80 = 299,400.90/x
  3. Step 3: Cross multiply
    458,833.20x = 688,249.80 × 299,400.90
  4. Step 4: Simplify right side
    458,833.20x = 206,062,609,544.82
  5. Step 5: Solve for x
    x = 206,062,609,544.82/458,833.20
  6. Step 6: Final answer
    x = 449,101.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.