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Finding the Fourth Proportional to 292,620.23, 438,930.32 and 82,258.17

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Solution

The fourth proportional to 292,620.23, 438,930.32 and 82,258.17 is: 123,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,620.23 : 438,930.32 = 82,258.17 : x
  2. Step 2: Convert to fraction form
    292,620.23/438,930.32 = 82,258.17/x
  3. Step 3: Cross multiply
    292,620.23x = 438,930.32 × 82,258.17
  4. Step 4: Simplify right side
    292,620.23x = 36,105,605,086.36
  5. Step 5: Solve for x
    x = 36,105,605,086.36/292,620.23
  6. Step 6: Final answer
    x = 123,387.25

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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.