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Finding the Fourth Proportional to 313,772.38, 433,005.93 and 170,532.43

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Solution

The fourth proportional to 313,772.38, 433,005.93 and 170,532.43 is: 235,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,772.38 : 433,005.93 = 170,532.43 : x
  2. Step 2: Convert to fraction form
    313,772.38/433,005.93 = 170,532.43/x
  3. Step 3: Cross multiply
    313,772.38x = 433,005.93 × 170,532.43
  4. Step 4: Simplify right side
    313,772.38x = 73,841,551,282.28
  5. Step 5: Solve for x
    x = 73,841,551,282.28/313,772.38
  6. Step 6: Final answer
    x = 235,334.77

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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.