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Finding the Fourth Proportional to 401,082.30, 601,623.45 and 322,350.30

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Solution

The fourth proportional to 401,082.30, 601,623.45 and 322,350.30 is: 483,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,082.30 : 601,623.45 = 322,350.30 : x
  2. Step 2: Convert to fraction form
    401,082.30/601,623.45 = 322,350.30/x
  3. Step 3: Cross multiply
    401,082.30x = 601,623.45 × 322,350.30
  4. Step 4: Simplify right side
    401,082.30x = 193,933,499,594.54
  5. Step 5: Solve for x
    x = 193,933,499,594.54/401,082.30
  6. Step 6: Final answer
    x = 483,525.45

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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.