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Finding the Fourth Proportional to 296,714.62, 409,700.82 and 274,044.55

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Solution

The fourth proportional to 296,714.62, 409,700.82 and 274,044.55 is: 378,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,714.62 : 409,700.82 = 274,044.55 : x
  2. Step 2: Convert to fraction form
    296,714.62/409,700.82 = 274,044.55/x
  3. Step 3: Cross multiply
    296,714.62x = 409,700.82 × 274,044.55
  4. Step 4: Simplify right side
    296,714.62x = 112,276,276,851.53
  5. Step 5: Solve for x
    x = 112,276,276,851.53/296,714.62
  6. Step 6: Final answer
    x = 378,398.20

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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.