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Finding the Fourth Proportional to 460,733.31, 691,193.93 and 261,142.83

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Solution

The fourth proportional to 460,733.31, 691,193.93 and 261,142.83 is: 391,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,733.31 : 691,193.93 = 261,142.83 : x
  2. Step 2: Convert to fraction form
    460,733.31/691,193.93 = 261,142.83/x
  3. Step 3: Cross multiply
    460,733.31x = 691,193.93 × 261,142.83
  4. Step 4: Simplify right side
    460,733.31x = 180,500,337,653.31
  5. Step 5: Solve for x
    x = 180,500,337,653.31/460,733.31
  6. Step 6: Final answer
    x = 391,767.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.