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Finding the Fourth Proportional to 313,854.72, 433,114.42 and 170,618.38

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Solution

The fourth proportional to 313,854.72, 433,114.42 and 170,618.38 is: 235,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,854.72 : 433,114.42 = 170,618.38 : x
  2. Step 2: Convert to fraction form
    313,854.72/433,114.42 = 170,618.38/x
  3. Step 3: Cross multiply
    313,854.72x = 433,114.42 × 170,618.38
  4. Step 4: Simplify right side
    313,854.72x = 73,897,280,695.04
  5. Step 5: Solve for x
    x = 73,897,280,695.04/313,854.72
  6. Step 6: Final answer
    x = 235,450.60

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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.