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Finding the Fourth Proportional to 324,356.46, 447,611.76 and 181,116.42

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Solution

The fourth proportional to 324,356.46, 447,611.76 and 181,116.42 is: 249,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,356.46 : 447,611.76 = 181,116.42 : x
  2. Step 2: Convert to fraction form
    324,356.46/447,611.76 = 181,116.42/x
  3. Step 3: Cross multiply
    324,356.46x = 447,611.76 × 181,116.42
  4. Step 4: Simplify right side
    324,356.46x = 81,069,839,521.10
  5. Step 5: Solve for x
    x = 81,069,839,521.10/324,356.46
  6. Step 6: Final answer
    x = 249,940.57

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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.