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Finding the Fourth Proportional to 360,836.50, 497,951.22 and 199,687.40

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Solution

The fourth proportional to 360,836.50, 497,951.22 and 199,687.40 is: 275,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,836.50 : 497,951.22 = 199,687.40 : x
  2. Step 2: Convert to fraction form
    360,836.50/497,951.22 = 199,687.40/x
  3. Step 3: Cross multiply
    360,836.50x = 497,951.22 × 199,687.40
  4. Step 4: Simplify right side
    360,836.50x = 99,434,584,448.63
  5. Step 5: Solve for x
    x = 99,434,584,448.63/360,836.50
  6. Step 6: Final answer
    x = 275,566.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.