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Finding the Fourth Proportional to 313,774.38, 433,008.69 and 170,534.43

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Solution

The fourth proportional to 313,774.38, 433,008.69 and 170,534.43 is: 235,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,774.38 : 433,008.69 = 170,534.43 : x
  2. Step 2: Convert to fraction form
    313,774.38/433,008.69 = 170,534.43/x
  3. Step 3: Cross multiply
    313,774.38x = 433,008.69 × 170,534.43
  4. Step 4: Simplify right side
    313,774.38x = 73,842,890,134.20
  5. Step 5: Solve for x
    x = 73,842,890,134.20/313,774.38
  6. Step 6: Final answer
    x = 235,337.54

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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.