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Finding the Fourth Proportional to 458,118.26, 632,181.86 and 254,167.02

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Solution

The fourth proportional to 458,118.26, 632,181.86 and 254,167.02 is: 350,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,118.26 : 632,181.86 = 254,167.02 : x
  2. Step 2: Convert to fraction form
    458,118.26/632,181.86 = 254,167.02/x
  3. Step 3: Cross multiply
    458,118.26x = 632,181.86 × 254,167.02
  4. Step 4: Simplify right side
    458,118.26x = 160,679,779,454.26
  5. Step 5: Solve for x
    x = 160,679,779,454.26/458,118.26
  6. Step 6: Final answer
    x = 350,738.65

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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.