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Finding the Fourth Proportional to 1,410,819.03, 1,946,944.53 and 766,251.81

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Solution

The fourth proportional to 1,410,819.03, 1,946,944.53 and 766,251.81 is: 1,057,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,819.03 : 1,946,944.53 = 766,251.81 : x
  2. Step 2: Convert to fraction form
    1,410,819.03/1,946,944.53 = 766,251.81/x
  3. Step 3: Cross multiply
    1,410,819.03x = 1,946,944.53 × 766,251.81
  4. Step 4: Simplify right side
    1,410,819.03x = 1,491,849,770,082.10
  5. Step 5: Solve for x
    x = 1,491,849,770,082.10/1,410,819.03
  6. Step 6: Final answer
    x = 1,057,435.25

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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.