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Finding the Fourth Proportional to 310,713.23, 465,067.47 and 160,747

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Solution

The fourth proportional to 310,713.23, 465,067.47 and 160,747 is: 240,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,713.23 : 465,067.47 = 160,747 : x
  2. Step 2: Convert to fraction form
    310,713.23/465,067.47 = 160,747/x
  3. Step 3: Cross multiply
    310,713.23x = 465,067.47 × 160,747
  4. Step 4: Simplify right side
    310,713.23x = 74,758,200,600.09
  5. Step 5: Solve for x
    x = 74,758,200,600.09/310,713.23
  6. Step 6: Final answer
    x = 240,601.92

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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.