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Finding the Fourth Proportional to 292,598.73, 403,819.09 and 165,282.53

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Solution

The fourth proportional to 292,598.73, 403,819.09 and 165,282.53 is: 228,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,598.73 : 403,819.09 = 165,282.53 : x
  2. Step 2: Convert to fraction form
    292,598.73/403,819.09 = 165,282.53/x
  3. Step 3: Cross multiply
    292,598.73x = 403,819.09 × 165,282.53
  4. Step 4: Simplify right side
    292,598.73x = 66,744,238,425.20
  5. Step 5: Solve for x
    x = 66,744,238,425.20/292,598.73
  6. Step 6: Final answer
    x = 228,108.44

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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.