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Finding the Fourth Proportional to 276,007.20, 414,010.80 and 200,774.40

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Solution

The fourth proportional to 276,007.20, 414,010.80 and 200,774.40 is: 301,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,007.20 : 414,010.80 = 200,774.40 : x
  2. Step 2: Convert to fraction form
    276,007.20/414,010.80 = 200,774.40/x
  3. Step 3: Cross multiply
    276,007.20x = 414,010.80 × 200,774.40
  4. Step 4: Simplify right side
    276,007.20x = 83,122,769,963.52
  5. Step 5: Solve for x
    x = 83,122,769,963.52/276,007.20
  6. Step 6: Final answer
    x = 301,161.60

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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.