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Finding the Fourth Proportional to 360,309.23, 497,217.98 and 199,160.13

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Solution

The fourth proportional to 360,309.23, 497,217.98 and 199,160.13 is: 274,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,309.23 : 497,217.98 = 199,160.13 : x
  2. Step 2: Convert to fraction form
    360,309.23/497,217.98 = 199,160.13/x
  3. Step 3: Cross multiply
    360,309.23x = 497,217.98 × 199,160.13
  4. Step 4: Simplify right side
    360,309.23x = 99,025,998,033.04
  5. Step 5: Solve for x
    x = 99,025,998,033.04/360,309.23
  6. Step 6: Final answer
    x = 274,836.14

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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.