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Finding the Fourth Proportional to 410,042, 615,166.72 and 114,554

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Solution

The fourth proportional to 410,042, 615,166.72 and 114,554 is: 171,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,042 : 615,166.72 = 114,554 : x
  2. Step 2: Convert to fraction form
    410,042/615,166.72 = 114,554/x
  3. Step 3: Cross multiply
    410,042x = 615,166.72 × 114,554
  4. Step 4: Simplify right side
    410,042x = 70,469,808,442.88
  5. Step 5: Solve for x
    x = 70,469,808,442.88/410,042
  6. Step 6: Final answer
    x = 171,859.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.