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Finding the Fourth Proportional to 1,313,945.40, 1,971,695.70 and 865,961.40

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Solution

The fourth proportional to 1,313,945.40, 1,971,695.70 and 865,961.40 is: 1,299,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,945.40 : 1,971,695.70 = 865,961.40 : x
  2. Step 2: Convert to fraction form
    1,313,945.40/1,971,695.70 = 865,961.40/x
  3. Step 3: Cross multiply
    1,313,945.40x = 1,971,695.70 × 865,961.40
  4. Step 4: Simplify right side
    1,313,945.40x = 1,707,412,368,745.98
  5. Step 5: Solve for x
    x = 1,707,412,368,745.98/1,313,945.40
  6. Step 6: Final answer
    x = 1,299,454.58

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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.