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Finding the Fourth Proportional to 463,744.54, 695,716.56 and 143,890

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Solution

The fourth proportional to 463,744.54, 695,716.56 and 143,890 is: 215,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744.54 : 695,716.56 = 143,890 : x
  2. Step 2: Convert to fraction form
    463,744.54/695,716.56 = 143,890/x
  3. Step 3: Cross multiply
    463,744.54x = 695,716.56 × 143,890
  4. Step 4: Simplify right side
    463,744.54x = 100,106,655,818.40
  5. Step 5: Solve for x
    x = 100,106,655,818.40/463,744.54
  6. Step 6: Final answer
    x = 215,865.95

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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.