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Finding the Fourth Proportional to 276,793.76, 413,674.08 and 202,071.24

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Solution

The fourth proportional to 276,793.76, 413,674.08 and 202,071.24 is: 301,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,793.76 : 413,674.08 = 202,071.24 : x
  2. Step 2: Convert to fraction form
    276,793.76/413,674.08 = 202,071.24/x
  3. Step 3: Cross multiply
    276,793.76x = 413,674.08 × 202,071.24
  4. Step 4: Simplify right side
    276,793.76x = 83,591,634,301.46
  5. Step 5: Solve for x
    x = 83,591,634,301.46/276,793.76
  6. Step 6: Final answer
    x = 301,999.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.