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Finding the Fourth Proportional to 597,092.32, 823,979.18 and 338,967

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Solution

The fourth proportional to 597,092.32, 823,979.18 and 338,967 is: 467,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,092.32 : 823,979.18 = 338,967 : x
  2. Step 2: Convert to fraction form
    597,092.32/823,979.18 = 338,967/x
  3. Step 3: Cross multiply
    597,092.32x = 823,979.18 × 338,967
  4. Step 4: Simplify right side
    597,092.32x = 279,301,750,707.06
  5. Step 5: Solve for x
    x = 279,301,750,707.06/597,092.32
  6. Step 6: Final answer
    x = 467,769.79

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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.