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Finding the Fourth Proportional to 261,524.91, 359,771.84 and 229,113.57

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Solution

The fourth proportional to 261,524.91, 359,771.84 and 229,113.57 is: 315,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,524.91 : 359,771.84 = 229,113.57 : x
  2. Step 2: Convert to fraction form
    261,524.91/359,771.84 = 229,113.57/x
  3. Step 3: Cross multiply
    261,524.91x = 359,771.84 × 229,113.57
  4. Step 4: Simplify right side
    261,524.91x = 82,428,609,502.30
  5. Step 5: Solve for x
    x = 82,428,609,502.30/261,524.91
  6. Step 6: Final answer
    x = 315,184.54

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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.