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Finding the Fourth Proportional to 1,301,357.46, 1,948,640.81 and 1,047,249.93

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Solution

The fourth proportional to 1,301,357.46, 1,948,640.81 and 1,047,249.93 is: 1,568,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,357.46 : 1,948,640.81 = 1,047,249.93 : x
  2. Step 2: Convert to fraction form
    1,301,357.46/1,948,640.81 = 1,047,249.93/x
  3. Step 3: Cross multiply
    1,301,357.46x = 1,948,640.81 × 1,047,249.93
  4. Step 4: Simplify right side
    1,301,357.46x = 2,040,713,946,631.39
  5. Step 5: Solve for x
    x = 2,040,713,946,631.39/1,301,357.46
  6. Step 6: Final answer
    x = 1,568,142.50

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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.