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Finding the Fourth Proportional to 477,447.57, 658,882.35 and 262,589.13

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Solution

The fourth proportional to 477,447.57, 658,882.35 and 262,589.13 is: 362,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,447.57 : 658,882.35 = 262,589.13 : x
  2. Step 2: Convert to fraction form
    477,447.57/658,882.35 = 262,589.13/x
  3. Step 3: Cross multiply
    477,447.57x = 658,882.35 × 262,589.13
  4. Step 4: Simplify right side
    477,447.57x = 173,015,343,058.86
  5. Step 5: Solve for x
    x = 173,015,343,058.86/477,447.57
  6. Step 6: Final answer
    x = 362,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.