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Finding the Fourth Proportional to 314,157.38, 471,432.92 and 127,168.88

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Solution

The fourth proportional to 314,157.38, 471,432.92 and 127,168.88 is: 190,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,157.38 : 471,432.92 = 127,168.88 : x
  2. Step 2: Convert to fraction form
    314,157.38/471,432.92 = 127,168.88/x
  3. Step 3: Cross multiply
    314,157.38x = 471,432.92 × 127,168.88
  4. Step 4: Simplify right side
    314,157.38x = 59,951,593,438.52
  5. Step 5: Solve for x
    x = 59,951,593,438.52/314,157.38
  6. Step 6: Final answer
    x = 190,833.00

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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.