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Finding the Fourth Proportional to 360,264.80, 497,191.16 and 199,116.38

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Solution

The fourth proportional to 360,264.80, 497,191.16 and 199,116.38 is: 274,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,264.80 : 497,191.16 = 199,116.38 : x
  2. Step 2: Convert to fraction form
    360,264.80/497,191.16 = 199,116.38/x
  3. Step 3: Cross multiply
    360,264.80x = 497,191.16 × 199,116.38
  4. Step 4: Simplify right side
    360,264.80x = 98,998,903,947.20
  5. Step 5: Solve for x
    x = 98,998,903,947.20/360,264.80
  6. Step 6: Final answer
    x = 274,794.83

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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.