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Finding the Fourth Proportional to 410,016.82, 615,023.31 and 129,533.62

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Solution

The fourth proportional to 410,016.82, 615,023.31 and 129,533.62 is: 194,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,016.82 : 615,023.31 = 129,533.62 : x
  2. Step 2: Convert to fraction form
    410,016.82/615,023.31 = 129,533.62/x
  3. Step 3: Cross multiply
    410,016.82x = 615,023.31 × 129,533.62
  4. Step 4: Simplify right side
    410,016.82x = 79,666,195,728.68
  5. Step 5: Solve for x
    x = 79,666,195,728.68/410,016.82
  6. Step 6: Final answer
    x = 194,299.82

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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.