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Finding the Fourth Proportional to 580,135.32, 871,537.14 and 412,064.46

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Solution

The fourth proportional to 580,135.32, 871,537.14 and 412,064.46 is: 619,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,135.32 : 871,537.14 = 412,064.46 : x
  2. Step 2: Convert to fraction form
    580,135.32/871,537.14 = 412,064.46/x
  3. Step 3: Cross multiply
    580,135.32x = 871,537.14 × 412,064.46
  4. Step 4: Simplify right side
    580,135.32x = 359,129,480,964.04
  5. Step 5: Solve for x
    x = 359,129,480,964.04/580,135.32
  6. Step 6: Final answer
    x = 619,044.33

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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.