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Finding the Fourth Proportional to 275,327.60, 412,894.20 and 97,840.40

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Solution

The fourth proportional to 275,327.60, 412,894.20 and 97,840.40 is: 146,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,327.60 : 412,894.20 = 97,840.40 : x
  2. Step 2: Convert to fraction form
    275,327.60/412,894.20 = 97,840.40/x
  3. Step 3: Cross multiply
    275,327.60x = 412,894.20 × 97,840.40
  4. Step 4: Simplify right side
    275,327.60x = 40,397,733,685.68
  5. Step 5: Solve for x
    x = 40,397,733,685.68/275,327.60
  6. Step 6: Final answer
    x = 146,726.06

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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.