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Finding the Fourth Proportional to 292,758, 404,006.34 and 158,622

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Solution

The fourth proportional to 292,758, 404,006.34 and 158,622 is: 218,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,758 : 404,006.34 = 158,622 : x
  2. Step 2: Convert to fraction form
    292,758/404,006.34 = 158,622/x
  3. Step 3: Cross multiply
    292,758x = 404,006.34 × 158,622
  4. Step 4: Simplify right side
    292,758x = 64,084,293,663.48
  5. Step 5: Solve for x
    x = 64,084,293,663.48/292,758
  6. Step 6: Final answer
    x = 218,898.52

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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.