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Finding the Fourth Proportional to 551,631.75, 827,447.63 and 177,654.75

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Solution

The fourth proportional to 551,631.75, 827,447.63 and 177,654.75 is: 266,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,631.75 : 827,447.63 = 177,654.75 : x
  2. Step 2: Convert to fraction form
    551,631.75/827,447.63 = 177,654.75/x
  3. Step 3: Cross multiply
    551,631.75x = 827,447.63 × 177,654.75
  4. Step 4: Simplify right side
    551,631.75x = 147,000,000,957.47
  5. Step 5: Solve for x
    x = 147,000,000,957.47/551,631.75
  6. Step 6: Final answer
    x = 266,482.13

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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.