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Finding the Fourth Proportional to 365,712.33, 548,593.14 and 141,074.64

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Solution

The fourth proportional to 365,712.33, 548,593.14 and 141,074.64 is: 211,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,712.33 : 548,593.14 = 141,074.64 : x
  2. Step 2: Convert to fraction form
    365,712.33/548,593.14 = 141,074.64/x
  3. Step 3: Cross multiply
    365,712.33x = 548,593.14 × 141,074.64
  4. Step 4: Simplify right side
    365,712.33x = 77,392,579,731.97
  5. Step 5: Solve for x
    x = 77,392,579,731.97/365,712.33
  6. Step 6: Final answer
    x = 211,621.47

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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.