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Finding the Fourth Proportional to 292,918.46, 404,218.22 and 165,586.46

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Solution

The fourth proportional to 292,918.46, 404,218.22 and 165,586.46 is: 228,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,918.46 : 404,218.22 = 165,586.46 : x
  2. Step 2: Convert to fraction form
    292,918.46/404,218.22 = 165,586.46/x
  3. Step 3: Cross multiply
    292,918.46x = 404,218.22 × 165,586.46
  4. Step 4: Simplify right side
    292,918.46x = 66,933,064,117.30
  5. Step 5: Solve for x
    x = 66,933,064,117.30/292,918.46
  6. Step 6: Final answer
    x = 228,504.08

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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.