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Finding the Fourth Proportional to 272,327.40, 408,053.70 and 178,723.80

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Solution

The fourth proportional to 272,327.40, 408,053.70 and 178,723.80 is: 267,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,327.40 : 408,053.70 = 178,723.80 : x
  2. Step 2: Convert to fraction form
    272,327.40/408,053.70 = 178,723.80/x
  3. Step 3: Cross multiply
    272,327.40x = 408,053.70 × 178,723.80
  4. Step 4: Simplify right side
    272,327.40x = 72,928,907,868.06
  5. Step 5: Solve for x
    x = 72,928,907,868.06/272,327.40
  6. Step 6: Final answer
    x = 267,798.64

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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.