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Finding the Fourth Proportional to 301,207.70, 415,947.90 and 193,966.34

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Solution

The fourth proportional to 301,207.70, 415,947.90 and 193,966.34 is: 267,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,207.70 : 415,947.90 = 193,966.34 : x
  2. Step 2: Convert to fraction form
    301,207.70/415,947.90 = 193,966.34/x
  3. Step 3: Cross multiply
    301,207.70x = 415,947.90 × 193,966.34
  4. Step 4: Simplify right side
    301,207.70x = 80,679,889,713.95
  5. Step 5: Solve for x
    x = 80,679,889,713.95/301,207.70
  6. Step 6: Final answer
    x = 267,854.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.