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Finding the Fourth Proportional to 314,789.16, 472,323.16 and 164,993.84

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Solution

The fourth proportional to 314,789.16, 472,323.16 and 164,993.84 is: 247,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,789.16 : 472,323.16 = 164,993.84 : x
  2. Step 2: Convert to fraction form
    314,789.16/472,323.16 = 164,993.84/x
  3. Step 3: Cross multiply
    314,789.16x = 472,323.16 × 164,993.84
  4. Step 4: Simplify right side
    314,789.16x = 77,930,409,940.20
  5. Step 5: Solve for x
    x = 77,930,409,940.20/314,789.16
  6. Step 6: Final answer
    x = 247,563.83

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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.