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Finding the Fourth Proportional to 580,904.80, 871,411 and 225,945.52

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Solution

The fourth proportional to 580,904.80, 871,411 and 225,945.52 is: 338,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,904.80 : 871,411 = 225,945.52 : x
  2. Step 2: Convert to fraction form
    580,904.80/871,411 = 225,945.52/x
  3. Step 3: Cross multiply
    580,904.80x = 871,411 × 225,945.52
  4. Step 4: Simplify right side
    580,904.80x = 196,891,411,528.72
  5. Step 5: Solve for x
    x = 196,891,411,528.72/580,904.80
  6. Step 6: Final answer
    x = 338,939.21

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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.