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Finding the Fourth Proportional to 458,229.28, 632,339.84 and 254,289.10

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Solution

The fourth proportional to 458,229.28, 632,339.84 and 254,289.10 is: 350,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,229.28 : 632,339.84 = 254,289.10 : x
  2. Step 2: Convert to fraction form
    458,229.28/632,339.84 = 254,289.10/x
  3. Step 3: Cross multiply
    458,229.28x = 632,339.84 × 254,289.10
  4. Step 4: Simplify right side
    458,229.28x = 160,797,128,807.74
  5. Step 5: Solve for x
    x = 160,797,128,807.74/458,229.28
  6. Step 6: Final answer
    x = 350,909.76

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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.