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Finding the Fourth Proportional to 292,714.52, 403,954.02 and 165,387.56

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Solution

The fourth proportional to 292,714.52, 403,954.02 and 165,387.56 is: 228,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,714.52 : 403,954.02 = 165,387.56 : x
  2. Step 2: Convert to fraction form
    292,714.52/403,954.02 = 165,387.56/x
  3. Step 3: Cross multiply
    292,714.52x = 403,954.02 × 165,387.56
  4. Step 4: Simplify right side
    292,714.52x = 66,808,969,719.99
  5. Step 5: Solve for x
    x = 66,808,969,719.99/292,714.52
  6. Step 6: Final answer
    x = 228,239.34

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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.