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Finding the Fourth Proportional to 310,180.96, 465,273.87 and 169,863.04

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Solution

The fourth proportional to 310,180.96, 465,273.87 and 169,863.04 is: 254,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,180.96 : 465,273.87 = 169,863.04 : x
  2. Step 2: Convert to fraction form
    310,180.96/465,273.87 = 169,863.04/x
  3. Step 3: Cross multiply
    310,180.96x = 465,273.87 × 169,863.04
  4. Step 4: Simplify right side
    310,180.96x = 79,032,833,990.76
  5. Step 5: Solve for x
    x = 79,032,833,990.76/310,180.96
  6. Step 6: Final answer
    x = 254,795.89

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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.