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Finding the Fourth Proportional to 410,141.26, 615,208.20 and 129,658.60

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Solution

The fourth proportional to 410,141.26, 615,208.20 and 129,658.60 is: 194,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,141.26 : 615,208.20 = 129,658.60 : x
  2. Step 2: Convert to fraction form
    410,141.26/615,208.20 = 129,658.60/x
  3. Step 3: Cross multiply
    410,141.26x = 615,208.20 × 129,658.60
  4. Step 4: Simplify right side
    410,141.26x = 79,767,033,920.52
  5. Step 5: Solve for x
    x = 79,767,033,920.52/410,141.26
  6. Step 6: Final answer
    x = 194,486.73

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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.