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Finding the Fourth Proportional to 414,639.48, 572,201.30 and 233,351.40

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Solution

The fourth proportional to 414,639.48, 572,201.30 and 233,351.40 is: 322,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,639.48 : 572,201.30 = 233,351.40 : x
  2. Step 2: Convert to fraction form
    414,639.48/572,201.30 = 233,351.40/x
  3. Step 3: Cross multiply
    414,639.48x = 572,201.30 × 233,351.40
  4. Step 4: Simplify right side
    414,639.48x = 133,523,974,436.82
  5. Step 5: Solve for x
    x = 133,523,974,436.82/414,639.48
  6. Step 6: Final answer
    x = 322,024.27

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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.