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Finding the Fourth Proportional to 580,854.80, 871,336 and 225,895.52

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Solution

The fourth proportional to 580,854.80, 871,336 and 225,895.52 is: 338,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,854.80 : 871,336 = 225,895.52 : x
  2. Step 2: Convert to fraction form
    580,854.80/871,336 = 225,895.52/x
  3. Step 3: Cross multiply
    580,854.80x = 871,336 × 225,895.52
  4. Step 4: Simplify right side
    580,854.80x = 196,830,898,814.72
  5. Step 5: Solve for x
    x = 196,830,898,814.72/580,854.80
  6. Step 6: Final answer
    x = 338,864.20

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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.