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Finding the Fourth Proportional to 580,675.32, 871,329.30 and 225,702.84

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Solution

The fourth proportional to 580,675.32, 871,329.30 and 225,702.84 is: 338,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,675.32 : 871,329.30 = 225,702.84 : x
  2. Step 2: Convert to fraction form
    580,675.32/871,329.30 = 225,702.84/x
  3. Step 3: Cross multiply
    580,675.32x = 871,329.30 × 225,702.84
  4. Step 4: Simplify right side
    580,675.32x = 196,661,497,585.21
  5. Step 5: Solve for x
    x = 196,661,497,585.21/580,675.32
  6. Step 6: Final answer
    x = 338,677.21

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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.