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Finding the Fourth Proportional to 375,883.96, 518,817 and 232,559.32

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Solution

The fourth proportional to 375,883.96, 518,817 and 232,559.32 is: 320,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,883.96 : 518,817 = 232,559.32 : x
  2. Step 2: Convert to fraction form
    375,883.96/518,817 = 232,559.32/x
  3. Step 3: Cross multiply
    375,883.96x = 518,817 × 232,559.32
  4. Step 4: Simplify right side
    375,883.96x = 120,655,728,724.44
  5. Step 5: Solve for x
    x = 120,655,728,724.44/375,883.96
  6. Step 6: Final answer
    x = 320,991.96

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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.