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Finding the Fourth Proportional to 540,287.80, 809,936.30 and 207,613.24

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Solution

The fourth proportional to 540,287.80, 809,936.30 and 207,613.24 is: 311,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,287.80 : 809,936.30 = 207,613.24 : x
  2. Step 2: Convert to fraction form
    540,287.80/809,936.30 = 207,613.24/x
  3. Step 3: Cross multiply
    540,287.80x = 809,936.30 × 207,613.24
  4. Step 4: Simplify right side
    540,287.80x = 168,153,499,436.61
  5. Step 5: Solve for x
    x = 168,153,499,436.61/540,287.80
  6. Step 6: Final answer
    x = 311,229.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.