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Finding the Fourth Proportional to 422,157.96, 633,232.08 and 169,502.76

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Solution

The fourth proportional to 422,157.96, 633,232.08 and 169,502.76 is: 254,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,157.96 : 633,232.08 = 169,502.76 : x
  2. Step 2: Convert to fraction form
    422,157.96/633,232.08 = 169,502.76/x
  3. Step 3: Cross multiply
    422,157.96x = 633,232.08 × 169,502.76
  4. Step 4: Simplify right side
    422,157.96x = 107,334,585,280.54
  5. Step 5: Solve for x
    x = 107,334,585,280.54/422,157.96
  6. Step 6: Final answer
    x = 254,252.19

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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.