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Finding the Fourth Proportional to 1,407,516.02, 1,942,320.06 and 762,922.37

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Solution

The fourth proportional to 1,407,516.02, 1,942,320.06 and 762,922.37 is: 1,052,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,516.02 : 1,942,320.06 = 762,922.37 : x
  2. Step 2: Convert to fraction form
    1,407,516.02/1,942,320.06 = 762,922.37/x
  3. Step 3: Cross multiply
    1,407,516.02x = 1,942,320.06 × 762,922.37
  4. Step 4: Simplify right side
    1,407,516.02x = 1,481,839,423,906.80
  5. Step 5: Solve for x
    x = 1,481,839,423,906.80/1,407,516.02
  6. Step 6: Final answer
    x = 1,052,804.66

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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.