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Finding the Fourth Proportional to 272,015.70, 408,023.55 and 209,807.70

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Solution

The fourth proportional to 272,015.70, 408,023.55 and 209,807.70 is: 314,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,015.70 : 408,023.55 = 209,807.70 : x
  2. Step 2: Convert to fraction form
    272,015.70/408,023.55 = 209,807.70/x
  3. Step 3: Cross multiply
    272,015.70x = 408,023.55 × 209,807.70
  4. Step 4: Simplify right side
    272,015.70x = 85,606,482,571.34
  5. Step 5: Solve for x
    x = 85,606,482,571.34/272,015.70
  6. Step 6: Final answer
    x = 314,711.55

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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.