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Finding the Fourth Proportional to 1,416,516.75, 1,954,736.19 and 771,923.10

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Solution

The fourth proportional to 1,416,516.75, 1,954,736.19 and 771,923.10 is: 1,065,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,516.75 : 1,954,736.19 = 771,923.10 : x
  2. Step 2: Convert to fraction form
    1,416,516.75/1,954,736.19 = 771,923.10/x
  3. Step 3: Cross multiply
    1,416,516.75x = 1,954,736.19 × 771,923.10
  4. Step 4: Simplify right side
    1,416,516.75x = 1,508,906,019,466.99
  5. Step 5: Solve for x
    x = 1,508,906,019,466.99/1,416,516.75
  6. Step 6: Final answer
    x = 1,065,222.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.