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Finding the Fourth Proportional to 312,335.60, 431,017.92 and 169,094.48

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Solution

The fourth proportional to 312,335.60, 431,017.92 and 169,094.48 is: 233,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,335.60 : 431,017.92 = 169,094.48 : x
  2. Step 2: Convert to fraction form
    312,335.60/431,017.92 = 169,094.48/x
  3. Step 3: Cross multiply
    312,335.60x = 431,017.92 × 169,094.48
  4. Step 4: Simplify right side
    312,335.60x = 72,882,751,053.08
  5. Step 5: Solve for x
    x = 72,882,751,053.08/312,335.60
  6. Step 6: Final answer
    x = 233,347.56

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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.