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Finding the Fourth Proportional to 298,224.71, 447,617.34 and 156,171.90

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Solution

The fourth proportional to 298,224.71, 447,617.34 and 156,171.90 is: 234,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,224.71 : 447,617.34 = 156,171.90 : x
  2. Step 2: Convert to fraction form
    298,224.71/447,617.34 = 156,171.90/x
  3. Step 3: Cross multiply
    298,224.71x = 447,617.34 × 156,171.90
  4. Step 4: Simplify right side
    298,224.71x = 69,905,250,460.75
  5. Step 5: Solve for x
    x = 69,905,250,460.75/298,224.71
  6. Step 6: Final answer
    x = 234,404.63

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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.