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Finding the Fourth Proportional to 410,114.26, 615,167.70 and 129,631.60

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Solution

The fourth proportional to 410,114.26, 615,167.70 and 129,631.60 is: 194,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,114.26 : 615,167.70 = 129,631.60 : x
  2. Step 2: Convert to fraction form
    410,114.26/615,167.70 = 129,631.60/x
  3. Step 3: Cross multiply
    410,114.26x = 615,167.70 × 129,631.60
  4. Step 4: Simplify right side
    410,114.26x = 79,745,173,219.32
  5. Step 5: Solve for x
    x = 79,745,173,219.32/410,114.26
  6. Step 6: Final answer
    x = 194,446.23

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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.