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Finding the Fourth Proportional to 392,788.37, 542,255.08 and 264,401.84

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Solution

The fourth proportional to 392,788.37, 542,255.08 and 264,401.84 is: 365,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,788.37 : 542,255.08 = 264,401.84 : x
  2. Step 2: Convert to fraction form
    392,788.37/542,255.08 = 264,401.84/x
  3. Step 3: Cross multiply
    392,788.37x = 542,255.08 × 264,401.84
  4. Step 4: Simplify right side
    392,788.37x = 143,373,241,595.98
  5. Step 5: Solve for x
    x = 143,373,241,595.98/392,788.37
  6. Step 6: Final answer
    x = 365,013.97

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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.