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Finding the Fourth Proportional to 296,561.36, 409,354.49 and 180,274.43

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Solution

The fourth proportional to 296,561.36, 409,354.49 and 180,274.43 is: 248,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,561.36 : 409,354.49 = 180,274.43 : x
  2. Step 2: Convert to fraction form
    296,561.36/409,354.49 = 180,274.43/x
  3. Step 3: Cross multiply
    296,561.36x = 409,354.49 × 180,274.43
  4. Step 4: Simplify right side
    296,561.36x = 73,796,146,451.32
  5. Step 5: Solve for x
    x = 73,796,146,451.32/296,561.36
  6. Step 6: Final answer
    x = 248,839.39

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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.