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Finding the Fourth Proportional to 422,293.60, 633,440.21 and 169,574

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Solution

The fourth proportional to 422,293.60, 633,440.21 and 169,574 is: 254,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,293.60 : 633,440.21 = 169,574 : x
  2. Step 2: Convert to fraction form
    422,293.60/633,440.21 = 169,574/x
  3. Step 3: Cross multiply
    422,293.60x = 633,440.21 × 169,574
  4. Step 4: Simplify right side
    422,293.60x = 107,414,990,170.54
  5. Step 5: Solve for x
    x = 107,414,990,170.54/422,293.60
  6. Step 6: Final answer
    x = 254,360.92

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