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Finding the Fourth Proportional to 477,593.91, 659,019.56 and 322,881.64

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Solution

The fourth proportional to 477,593.91, 659,019.56 and 322,881.64 is: 445,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,593.91 : 659,019.56 = 322,881.64 : x
  2. Step 2: Convert to fraction form
    477,593.91/659,019.56 = 322,881.64/x
  3. Step 3: Cross multiply
    477,593.91x = 659,019.56 × 322,881.64
  4. Step 4: Simplify right side
    477,593.91x = 212,785,313,062.92
  5. Step 5: Solve for x
    x = 212,785,313,062.92/477,593.91
  6. Step 6: Final answer
    x = 445,536.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.