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Finding the Fourth Proportional to 1,964,574.75, 2,947,219.07 and 811,824.10

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Solution

The fourth proportional to 1,964,574.75, 2,947,219.07 and 811,824.10 is: 1,217,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,574.75 : 2,947,219.07 = 811,824.10 : x
  2. Step 2: Convert to fraction form
    1,964,574.75/2,947,219.07 = 811,824.10/x
  3. Step 3: Cross multiply
    1,964,574.75x = 2,947,219.07 × 811,824.10
  4. Step 4: Simplify right side
    1,964,574.75x = 2,392,623,457,578.42
  5. Step 5: Solve for x
    x = 2,392,623,457,578.42/1,964,574.75
  6. Step 6: Final answer
    x = 1,217,883.65

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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.