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Finding the Fourth Proportional to 314,156.50, 433,540.38 and 170,916.46

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Solution

The fourth proportional to 314,156.50, 433,540.38 and 170,916.46 is: 235,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,156.50 : 433,540.38 = 170,916.46 : x
  2. Step 2: Convert to fraction form
    314,156.50/433,540.38 = 170,916.46/x
  3. Step 3: Cross multiply
    314,156.50x = 433,540.38 × 170,916.46
  4. Step 4: Simplify right side
    314,156.50x = 74,099,187,016.65
  5. Step 5: Solve for x
    x = 74,099,187,016.65/314,156.50
  6. Step 6: Final answer
    x = 235,867.11

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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.