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Finding the Fourth Proportional to 310,638.92, 465,349.41 and 160,977.38

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Solution

The fourth proportional to 310,638.92, 465,349.41 and 160,977.38 is: 241,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,638.92 : 465,349.41 = 160,977.38 : x
  2. Step 2: Convert to fraction form
    310,638.92/465,349.41 = 160,977.38/x
  3. Step 3: Cross multiply
    310,638.92x = 465,349.41 × 160,977.38
  4. Step 4: Simplify right side
    310,638.92x = 74,910,726,479.60
  5. Step 5: Solve for x
    x = 74,910,726,479.60/310,638.92
  6. Step 6: Final answer
    x = 241,150.49

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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.