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Finding the Fourth Proportional to 343,117.80, 473,496.84 and 188,067.60

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Solution

The fourth proportional to 343,117.80, 473,496.84 and 188,067.60 is: 259,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,117.80 : 473,496.84 = 188,067.60 : x
  2. Step 2: Convert to fraction form
    343,117.80/473,496.84 = 188,067.60/x
  3. Step 3: Cross multiply
    343,117.80x = 473,496.84 × 188,067.60
  4. Step 4: Simplify right side
    343,117.80x = 89,049,414,306.38
  5. Step 5: Solve for x
    x = 89,049,414,306.38/343,117.80
  6. Step 6: Final answer
    x = 259,530.15

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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.