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Finding the Fourth Proportional to 242,682.58, 362,125.33 and 217,465.84

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Solution

The fourth proportional to 242,682.58, 362,125.33 and 217,465.84 is: 324,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682.58 : 362,125.33 = 217,465.84 : x
  2. Step 2: Convert to fraction form
    242,682.58/362,125.33 = 217,465.84/x
  3. Step 3: Cross multiply
    242,682.58x = 362,125.33 × 217,465.84
  4. Step 4: Simplify right side
    242,682.58x = 78,749,889,073.73
  5. Step 5: Solve for x
    x = 78,749,889,073.73/242,682.58
  6. Step 6: Final answer
    x = 324,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.