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Finding the Fourth Proportional to 514,711.56, 772,164.50 and 194,959.20

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Solution

The fourth proportional to 514,711.56, 772,164.50 and 194,959.20 is: 292,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,711.56 : 772,164.50 = 194,959.20 : x
  2. Step 2: Convert to fraction form
    514,711.56/772,164.50 = 194,959.20/x
  3. Step 3: Cross multiply
    514,711.56x = 772,164.50 × 194,959.20
  4. Step 4: Simplify right side
    514,711.56x = 150,540,572,213.60
  5. Step 5: Solve for x
    x = 150,540,572,213.60/514,711.56
  6. Step 6: Final answer
    x = 292,475.60

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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.