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Finding the Fourth Proportional to 313,676.88, 432,876.74 and 170,436.92

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Solution

The fourth proportional to 313,676.88, 432,876.74 and 170,436.92 is: 235,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,676.88 : 432,876.74 = 170,436.92 : x
  2. Step 2: Convert to fraction form
    313,676.88/432,876.74 = 170,436.92/x
  3. Step 3: Cross multiply
    313,676.88x = 432,876.74 × 170,436.92
  4. Step 4: Simplify right side
    313,676.88x = 73,778,178,535.25
  5. Step 5: Solve for x
    x = 73,778,178,535.25/313,676.88
  6. Step 6: Final answer
    x = 235,204.39

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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.