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Finding the Fourth Proportional to 360,891.32, 498,023.98 and 199,742.94

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Solution

The fourth proportional to 360,891.32, 498,023.98 and 199,742.94 is: 275,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,891.32 : 498,023.98 = 199,742.94 : x
  2. Step 2: Convert to fraction form
    360,891.32/498,023.98 = 199,742.94/x
  3. Step 3: Cross multiply
    360,891.32x = 498,023.98 × 199,742.94
  4. Step 4: Simplify right side
    360,891.32x = 99,476,773,955.70
  5. Step 5: Solve for x
    x = 99,476,773,955.70/360,891.32
  6. Step 6: Final answer
    x = 275,641.91

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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.