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Finding the Fourth Proportional to 242,680.40, 364,020.60 and 171,821.60

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Solution

The fourth proportional to 242,680.40, 364,020.60 and 171,821.60 is: 257,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,680.40 : 364,020.60 = 171,821.60 : x
  2. Step 2: Convert to fraction form
    242,680.40/364,020.60 = 171,821.60/x
  3. Step 3: Cross multiply
    242,680.40x = 364,020.60 × 171,821.60
  4. Step 4: Simplify right side
    242,680.40x = 62,546,601,924.96
  5. Step 5: Solve for x
    x = 62,546,601,924.96/242,680.40
  6. Step 6: Final answer
    x = 257,732.40

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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.