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Finding the Fourth Proportional to 258,726.96, 356,947.44 and 258,327.95

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Solution

The fourth proportional to 258,726.96, 356,947.44 and 258,327.95 is: 356,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,726.96 : 356,947.44 = 258,327.95 : x
  2. Step 2: Convert to fraction form
    258,726.96/356,947.44 = 258,327.95/x
  3. Step 3: Cross multiply
    258,726.96x = 356,947.44 × 258,327.95
  4. Step 4: Simplify right side
    258,726.96x = 92,209,497,679.48
  5. Step 5: Solve for x
    x = 92,209,497,679.48/258,726.96
  6. Step 6: Final answer
    x = 356,396.94

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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.