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Finding the Fourth Proportional to 412,354.35, 569,064.41 and 231,059.57

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Solution

The fourth proportional to 412,354.35, 569,064.41 and 231,059.57 is: 318,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,354.35 : 569,064.41 = 231,059.57 : x
  2. Step 2: Convert to fraction form
    412,354.35/569,064.41 = 231,059.57/x
  3. Step 3: Cross multiply
    412,354.35x = 569,064.41 × 231,059.57
  4. Step 4: Simplify right side
    412,354.35x = 131,487,775,931.05
  5. Step 5: Solve for x
    x = 131,487,775,931.05/412,354.35
  6. Step 6: Final answer
    x = 318,870.83

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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.