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Finding the Fourth Proportional to 580,801.44, 871,304.40 and 206,824.80

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Solution

The fourth proportional to 580,801.44, 871,304.40 and 206,824.80 is: 310,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,801.44 : 871,304.40 = 206,824.80 : x
  2. Step 2: Convert to fraction form
    580,801.44/871,304.40 = 206,824.80/x
  3. Step 3: Cross multiply
    580,801.44x = 871,304.40 × 206,824.80
  4. Step 4: Simplify right side
    580,801.44x = 180,207,358,269.12
  5. Step 5: Solve for x
    x = 180,207,358,269.12/580,801.44
  6. Step 6: Final answer
    x = 310,273.61

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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.