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Finding the Fourth Proportional to 590,593.28, 815,007.36 and 322,323.20

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Solution

The fourth proportional to 590,593.28, 815,007.36 and 322,323.20 is: 444,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,593.28 : 815,007.36 = 322,323.20 : x
  2. Step 2: Convert to fraction form
    590,593.28/815,007.36 = 322,323.20/x
  3. Step 3: Cross multiply
    590,593.28x = 815,007.36 × 322,323.20
  4. Step 4: Simplify right side
    590,593.28x = 262,695,780,298.75
  5. Step 5: Solve for x
    x = 262,695,780,298.75/590,593.28
  6. Step 6: Final answer
    x = 444,799.81

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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.