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Finding the Fourth Proportional to 456,105.72, 683,868.78 and 400,058.40

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Solution

The fourth proportional to 456,105.72, 683,868.78 and 400,058.40 is: 599,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,105.72 : 683,868.78 = 400,058.40 : x
  2. Step 2: Convert to fraction form
    456,105.72/683,868.78 = 400,058.40/x
  3. Step 3: Cross multiply
    456,105.72x = 683,868.78 × 400,058.40
  4. Step 4: Simplify right side
    456,105.72x = 273,587,449,936.75
  5. Step 5: Solve for x
    x = 273,587,449,936.75/456,105.72
  6. Step 6: Final answer
    x = 599,833.41

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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.