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Finding the Fourth Proportional to 414,990.17, 572,697.11 and 233,708.37

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Solution

The fourth proportional to 414,990.17, 572,697.11 and 233,708.37 is: 322,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,990.17 : 572,697.11 = 233,708.37 : x
  2. Step 2: Convert to fraction form
    414,990.17/572,697.11 = 233,708.37/x
  3. Step 3: Cross multiply
    414,990.17x = 572,697.11 × 233,708.37
  4. Step 4: Simplify right side
    414,990.17x = 133,844,109,082.58
  5. Step 5: Solve for x
    x = 133,844,109,082.58/414,990.17
  6. Step 6: Final answer
    x = 322,523.57

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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.