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Finding the Fourth Proportional to 410,297.20, 615,384.24 and 129,778

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Solution

The fourth proportional to 410,297.20, 615,384.24 and 129,778 is: 194,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,297.20 : 615,384.24 = 129,778 : x
  2. Step 2: Convert to fraction form
    410,297.20/615,384.24 = 129,778/x
  3. Step 3: Cross multiply
    410,297.20x = 615,384.24 × 129,778
  4. Step 4: Simplify right side
    410,297.20x = 79,863,335,898.72
  5. Step 5: Solve for x
    x = 79,863,335,898.72/410,297.20
  6. Step 6: Final answer
    x = 194,647.53

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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.