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Finding the Fourth Proportional to 345,954.88, 477,439.77 and 193,016.14

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Solution

The fourth proportional to 345,954.88, 477,439.77 and 193,016.14 is: 266,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,954.88 : 477,439.77 = 193,016.14 : x
  2. Step 2: Convert to fraction form
    345,954.88/477,439.77 = 193,016.14/x
  3. Step 3: Cross multiply
    345,954.88x = 477,439.77 × 193,016.14
  4. Step 4: Simplify right side
    345,954.88x = 92,153,581,487.89
  5. Step 5: Solve for x
    x = 92,153,581,487.89/345,954.88
  6. Step 6: Final answer
    x = 266,374.57

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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.