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Finding the Fourth Proportional to 301,209.57, 415,950.49 and 193,968.20

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Solution

The fourth proportional to 301,209.57, 415,950.49 and 193,968.20 is: 267,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,209.57 : 415,950.49 = 193,968.20 : x
  2. Step 2: Convert to fraction form
    301,209.57/415,950.49 = 193,968.20/x
  3. Step 3: Cross multiply
    301,209.57x = 415,950.49 × 193,968.20
  4. Step 4: Simplify right side
    301,209.57x = 80,681,169,116.75
  5. Step 5: Solve for x
    x = 80,681,169,116.75/301,209.57
  6. Step 6: Final answer
    x = 267,857.26

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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.