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Finding the Fourth Proportional to 650,838.70, 976,258.05 and 177,523.30

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Solution

The fourth proportional to 650,838.70, 976,258.05 and 177,523.30 is: 266,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,838.70 : 976,258.05 = 177,523.30 : x
  2. Step 2: Convert to fraction form
    650,838.70/976,258.05 = 177,523.30/x
  3. Step 3: Cross multiply
    650,838.70x = 976,258.05 × 177,523.30
  4. Step 4: Simplify right side
    650,838.70x = 173,308,550,687.57
  5. Step 5: Solve for x
    x = 173,308,550,687.57/650,838.70
  6. Step 6: Final answer
    x = 266,284.95

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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.