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Finding the Fourth Proportional to 349,343.96, 523,642.21 and 180,694.49

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Solution

The fourth proportional to 349,343.96, 523,642.21 and 180,694.49 is: 270,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,343.96 : 523,642.21 = 180,694.49 : x
  2. Step 2: Convert to fraction form
    349,343.96/523,642.21 = 180,694.49/x
  3. Step 3: Cross multiply
    349,343.96x = 523,642.21 × 180,694.49
  4. Step 4: Simplify right side
    349,343.96x = 94,619,259,008.48
  5. Step 5: Solve for x
    x = 94,619,259,008.48/349,343.96
  6. Step 6: Final answer
    x = 270,848.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.