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Finding the Fourth Proportional to 314,786.71, 472,319.48 and 164,991.38

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Solution

The fourth proportional to 314,786.71, 472,319.48 and 164,991.38 is: 247,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,786.71 : 472,319.48 = 164,991.38 : x
  2. Step 2: Convert to fraction form
    314,786.71/472,319.48 = 164,991.38/x
  3. Step 3: Cross multiply
    314,786.71x = 472,319.48 × 164,991.38
  4. Step 4: Simplify right side
    314,786.71x = 77,928,643,049.72
  5. Step 5: Solve for x
    x = 77,928,643,049.72/314,786.71
  6. Step 6: Final answer
    x = 247,560.15

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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.