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Finding the Fourth Proportional to 349,367.82, 523,990.89 and 112,710.48

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Solution

The fourth proportional to 349,367.82, 523,990.89 and 112,710.48 is: 169,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,367.82 : 523,990.89 = 112,710.48 : x
  2. Step 2: Convert to fraction form
    349,367.82/523,990.89 = 112,710.48/x
  3. Step 3: Cross multiply
    349,367.82x = 523,990.89 × 112,710.48
  4. Step 4: Simplify right side
    349,367.82x = 59,059,264,727.53
  5. Step 5: Solve for x
    x = 59,059,264,727.53/349,367.82
  6. Step 6: Final answer
    x = 169,046.09

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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.