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Finding the Fourth Proportional to 360,909.66, 498,042.63 and 199,765.02

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Solution

The fourth proportional to 360,909.66, 498,042.63 and 199,765.02 is: 275,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,909.66 : 498,042.63 = 199,765.02 : x
  2. Step 2: Convert to fraction form
    360,909.66/498,042.63 = 199,765.02/x
  3. Step 3: Cross multiply
    360,909.66x = 498,042.63 × 199,765.02
  4. Step 4: Simplify right side
    360,909.66x = 99,491,495,942.80
  5. Step 5: Solve for x
    x = 99,491,495,942.80/360,909.66
  6. Step 6: Final answer
    x = 275,668.70

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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.