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Finding the Fourth Proportional to 410,633.80, 615,950.70 and 233,072.20

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Solution

The fourth proportional to 410,633.80, 615,950.70 and 233,072.20 is: 349,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,633.80 : 615,950.70 = 233,072.20 : x
  2. Step 2: Convert to fraction form
    410,633.80/615,950.70 = 233,072.20/x
  3. Step 3: Cross multiply
    410,633.80x = 615,950.70 × 233,072.20
  4. Step 4: Simplify right side
    410,633.80x = 143,560,984,740.54
  5. Step 5: Solve for x
    x = 143,560,984,740.54/410,633.80
  6. Step 6: Final answer
    x = 349,608.30

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Similar ratio
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1.5x scale

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.