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Finding the Fourth Proportional to 276,772.60, 414,502.80 and 276,772.60

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Solution

The fourth proportional to 276,772.60, 414,502.80 and 276,772.60 is: 414,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,772.60 : 414,502.80 = 276,772.60 : x
  2. Step 2: Convert to fraction form
    276,772.60/414,502.80 = 276,772.60/x
  3. Step 3: Cross multiply
    276,772.60x = 414,502.80 × 276,772.60
  4. Step 4: Simplify right side
    276,772.60x = 114,723,017,663.28
  5. Step 5: Solve for x
    x = 114,723,017,663.28/276,772.60
  6. Step 6: Final answer
    x = 414,502.80

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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.