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Finding the Fourth Proportional to 410,146.32, 615,215.64 and 129,663.60

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Solution

The fourth proportional to 410,146.32, 615,215.64 and 129,663.60 is: 194,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,146.32 : 615,215.64 = 129,663.60 : x
  2. Step 2: Convert to fraction form
    410,146.32/615,215.64 = 129,663.60/x
  3. Step 3: Cross multiply
    410,146.32x = 615,215.64 × 129,663.60
  4. Step 4: Simplify right side
    410,146.32x = 79,771,074,658.70
  5. Step 5: Solve for x
    x = 79,771,074,658.70/410,146.32
  6. Step 6: Final answer
    x = 194,494.19

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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.