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Finding the Fourth Proportional to 314,789.28, 472,323.35 and 164,993.96

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Solution

The fourth proportional to 314,789.28, 472,323.35 and 164,993.96 is: 247,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,789.28 : 472,323.35 = 164,993.96 : x
  2. Step 2: Convert to fraction form
    314,789.28/472,323.35 = 164,993.96/x
  3. Step 3: Cross multiply
    314,789.28x = 472,323.35 × 164,993.96
  4. Step 4: Simplify right side
    314,789.28x = 77,930,499,120.32
  5. Step 5: Solve for x
    x = 77,930,499,120.32/314,789.28
  6. Step 6: Final answer
    x = 247,564.02

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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.