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Finding the Fourth Proportional to 380,078.80, 569,657.40 and 169,493.20

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Solution

The fourth proportional to 380,078.80, 569,657.40 and 169,493.20 is: 254,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,078.80 : 569,657.40 = 169,493.20 : x
  2. Step 2: Convert to fraction form
    380,078.80/569,657.40 = 169,493.20/x
  3. Step 3: Cross multiply
    380,078.80x = 569,657.40 × 169,493.20
  4. Step 4: Simplify right side
    380,078.80x = 96,553,055,629.68
  5. Step 5: Solve for x
    x = 96,553,055,629.68/380,078.80
  6. Step 6: Final answer
    x = 254,034.31

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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.