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Finding the Fourth Proportional to 412,849.21, 569,686.35 and 231,523.83

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Solution

The fourth proportional to 412,849.21, 569,686.35 and 231,523.83 is: 319,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,849.21 : 569,686.35 = 231,523.83 : x
  2. Step 2: Convert to fraction form
    412,849.21/569,686.35 = 231,523.83/x
  3. Step 3: Cross multiply
    412,849.21x = 569,686.35 × 231,523.83
  4. Step 4: Simplify right side
    412,849.21x = 131,895,965,650.72
  5. Step 5: Solve for x
    x = 131,895,965,650.72/412,849.21
  6. Step 6: Final answer
    x = 319,477.34

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