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Finding the Fourth Proportional to 393,296.68, 590,535.78 and 225,007

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Solution

The fourth proportional to 393,296.68, 590,535.78 and 225,007 is: 337,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,296.68 : 590,535.78 = 225,007 : x
  2. Step 2: Convert to fraction form
    393,296.68/590,535.78 = 225,007/x
  3. Step 3: Cross multiply
    393,296.68x = 590,535.78 × 225,007
  4. Step 4: Simplify right side
    393,296.68x = 132,874,684,250.46
  5. Step 5: Solve for x
    x = 132,874,684,250.46/393,296.68
  6. Step 6: Final answer
    x = 337,848.48

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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.