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Finding the Fourth Proportional to 324,280, 447,497.68 and 181,036

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Solution

The fourth proportional to 324,280, 447,497.68 and 181,036 is: 249,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,280 : 447,497.68 = 181,036 : x
  2. Step 2: Convert to fraction form
    324,280/447,497.68 = 181,036/x
  3. Step 3: Cross multiply
    324,280x = 447,497.68 × 181,036
  4. Step 4: Simplify right side
    324,280x = 81,013,189,996.48
  5. Step 5: Solve for x
    x = 81,013,189,996.48/324,280
  6. Step 6: Final answer
    x = 249,824.81

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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.