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Finding the Fourth Proportional to 322,823.88, 484,224.89 and 86,154.03

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Solution

The fourth proportional to 322,823.88, 484,224.89 and 86,154.03 is: 129,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,823.88 : 484,224.89 = 86,154.03 : x
  2. Step 2: Convert to fraction form
    322,823.88/484,224.89 = 86,154.03/x
  3. Step 3: Cross multiply
    322,823.88x = 484,224.89 × 86,154.03
  4. Step 4: Simplify right side
    322,823.88x = 41,717,925,269.04
  5. Step 5: Solve for x
    x = 41,717,925,269.04/322,823.88
  6. Step 6: Final answer
    x = 129,228.13

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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.