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Finding the Fourth Proportional to 460,944, 691,416 and 110,736

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Solution

The fourth proportional to 460,944, 691,416 and 110,736 is: 166,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,944 : 691,416 = 110,736 : x
  2. Step 2: Convert to fraction form
    460,944/691,416 = 110,736/x
  3. Step 3: Cross multiply
    460,944x = 691,416 × 110,736
  4. Step 4: Simplify right side
    460,944x = 76,564,642,176
  5. Step 5: Solve for x
    x = 76,564,642,176/460,944
  6. Step 6: Final answer
    x = 166,104

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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.