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Finding the Fourth Proportional to 547,097.60, 820,723.20 and 173,081.60

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Solution

The fourth proportional to 547,097.60, 820,723.20 and 173,081.60 is: 259,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,097.60 : 820,723.20 = 173,081.60 : x
  2. Step 2: Convert to fraction form
    547,097.60/820,723.20 = 173,081.60/x
  3. Step 3: Cross multiply
    547,097.60x = 820,723.20 × 173,081.60
  4. Step 4: Simplify right side
    547,097.60x = 142,052,084,613.12
  5. Step 5: Solve for x
    x = 142,052,084,613.12/547,097.60
  6. Step 6: Final answer
    x = 259,646.70

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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.