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Finding the Fourth Proportional to 310,997.80, 465,641.34 and 235,896.04

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Solution

The fourth proportional to 310,997.80, 465,641.34 and 235,896.04 is: 353,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,997.80 : 465,641.34 = 235,896.04 : x
  2. Step 2: Convert to fraction form
    310,997.80/465,641.34 = 235,896.04/x
  3. Step 3: Cross multiply
    310,997.80x = 465,641.34 × 235,896.04
  4. Step 4: Simplify right side
    310,997.80x = 109,842,948,166.29
  5. Step 5: Solve for x
    x = 109,842,948,166.29/310,997.80
  6. Step 6: Final answer
    x = 353,195.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.