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Finding the Fourth Proportional to 272,002.70, 408,004.05 and 209,794.70

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Solution

The fourth proportional to 272,002.70, 408,004.05 and 209,794.70 is: 314,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,002.70 : 408,004.05 = 209,794.70 : x
  2. Step 2: Convert to fraction form
    272,002.70/408,004.05 = 209,794.70/x
  3. Step 3: Cross multiply
    272,002.70x = 408,004.05 × 209,794.70
  4. Step 4: Simplify right side
    272,002.70x = 85,597,087,268.54
  5. Step 5: Solve for x
    x = 85,597,087,268.54/272,002.70
  6. Step 6: Final answer
    x = 314,692.05

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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.