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Finding the Fourth Proportional to 551,501.60, 827,252.40 and 177,524.60

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Solution

The fourth proportional to 551,501.60, 827,252.40 and 177,524.60 is: 266,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,501.60 : 827,252.40 = 177,524.60 : x
  2. Step 2: Convert to fraction form
    551,501.60/827,252.40 = 177,524.60/x
  3. Step 3: Cross multiply
    551,501.60x = 827,252.40 × 177,524.60
  4. Step 4: Simplify right side
    551,501.60x = 146,857,651,409.04
  5. Step 5: Solve for x
    x = 146,857,651,409.04/551,501.60
  6. Step 6: Final answer
    x = 266,286.90

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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.