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Finding the Fourth Proportional to 295,766.78, 408,158.15 and 168,454.22

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Solution

The fourth proportional to 295,766.78, 408,158.15 and 168,454.22 is: 232,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,766.78 : 408,158.15 = 168,454.22 : x
  2. Step 2: Convert to fraction form
    295,766.78/408,158.15 = 168,454.22/x
  3. Step 3: Cross multiply
    295,766.78x = 408,158.15 × 168,454.22
  4. Step 4: Simplify right side
    295,766.78x = 68,755,962,973.02
  5. Step 5: Solve for x
    x = 68,755,962,973.02/295,766.78
  6. Step 6: Final answer
    x = 232,466.82

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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.