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Finding the Fourth Proportional to 458,151.86, 632,284.20 and 254,241.38

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Solution

The fourth proportional to 458,151.86, 632,284.20 and 254,241.38 is: 350,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,151.86 : 632,284.20 = 254,241.38 : x
  2. Step 2: Convert to fraction form
    458,151.86/632,284.20 = 254,241.38/x
  3. Step 3: Cross multiply
    458,151.86x = 632,284.20 × 254,241.38
  4. Step 4: Simplify right side
    458,151.86x = 160,752,807,560.20
  5. Step 5: Solve for x
    x = 160,752,807,560.20/458,151.86
  6. Step 6: Final answer
    x = 350,872.32

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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.