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Finding the Fourth Proportional to 412,742.18, 569,342.89 and 259,537.90

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Solution

The fourth proportional to 412,742.18, 569,342.89 and 259,537.90 is: 358,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,742.18 : 569,342.89 = 259,537.90 : x
  2. Step 2: Convert to fraction form
    412,742.18/569,342.89 = 259,537.90/x
  3. Step 3: Cross multiply
    412,742.18x = 569,342.89 × 259,537.90
  4. Step 4: Simplify right side
    412,742.18x = 147,766,058,050.53
  5. Step 5: Solve for x
    x = 147,766,058,050.53/412,742.18
  6. Step 6: Final answer
    x = 358,010.56

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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.