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Finding the Fourth Proportional to 314,759.73, 472,279.02 and 164,964.21

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Solution

The fourth proportional to 314,759.73, 472,279.02 and 164,964.21 is: 247,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,759.73 : 472,279.02 = 164,964.21 : x
  2. Step 2: Convert to fraction form
    314,759.73/472,279.02 = 164,964.21/x
  3. Step 3: Cross multiply
    314,759.73x = 472,279.02 × 164,964.21
  4. Step 4: Simplify right side
    314,759.73x = 77,909,135,433.87
  5. Step 5: Solve for x
    x = 77,909,135,433.87/314,759.73
  6. Step 6: Final answer
    x = 247,519.39

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1.5x scale

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.