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Finding the Fourth Proportional to 337,024.68, 465,283.89 and 233,808

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Solution

The fourth proportional to 337,024.68, 465,283.89 and 233,808 is: 322,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,024.68 : 465,283.89 = 233,808 : x
  2. Step 2: Convert to fraction form
    337,024.68/465,283.89 = 233,808/x
  3. Step 3: Cross multiply
    337,024.68x = 465,283.89 × 233,808
  4. Step 4: Simplify right side
    337,024.68x = 108,787,095,753.12
  5. Step 5: Solve for x
    x = 108,787,095,753.12/337,024.68
  6. Step 6: Final answer
    x = 322,786.73

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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.