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Finding the Fourth Proportional to 410,995.98, 616,387.05 and 174,216.78

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Solution

The fourth proportional to 410,995.98, 616,387.05 and 174,216.78 is: 261,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,995.98 : 616,387.05 = 174,216.78 : x
  2. Step 2: Convert to fraction form
    410,995.98/616,387.05 = 174,216.78/x
  3. Step 3: Cross multiply
    410,995.98x = 616,387.05 × 174,216.78
  4. Step 4: Simplify right side
    410,995.98x = 107,384,967,084.70
  5. Step 5: Solve for x
    x = 107,384,967,084.70/410,995.98
  6. Step 6: Final answer
    x = 261,279.85

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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.