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Finding the Fourth Proportional to 292,256.72, 403,314.36 and 164,959.28

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Solution

The fourth proportional to 292,256.72, 403,314.36 and 164,959.28 is: 227,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,256.72 : 403,314.36 = 164,959.28 : x
  2. Step 2: Convert to fraction form
    292,256.72/403,314.36 = 164,959.28/x
  3. Step 3: Cross multiply
    292,256.72x = 403,314.36 × 164,959.28
  4. Step 4: Simplify right side
    292,256.72x = 66,530,446,439.26
  5. Step 5: Solve for x
    x = 66,530,446,439.26/292,256.72
  6. Step 6: Final answer
    x = 227,643.86

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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.