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Finding the Fourth Proportional to 397,733.39, 596,362.12 and 269,806.88

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Solution

The fourth proportional to 397,733.39, 596,362.12 and 269,806.88 is: 404,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,733.39 : 596,362.12 = 269,806.88 : x
  2. Step 2: Convert to fraction form
    397,733.39/596,362.12 = 269,806.88/x
  3. Step 3: Cross multiply
    397,733.39x = 596,362.12 × 269,806.88
  4. Step 4: Simplify right side
    397,733.39x = 160,902,602,947.39
  5. Step 5: Solve for x
    x = 160,902,602,947.39/397,733.39
  6. Step 6: Final answer
    x = 404,548.89

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1.5x scale

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.