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Finding the Fourth Proportional to 551,661.75, 827,492.67 and 177,684.75

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Solution

The fourth proportional to 551,661.75, 827,492.67 and 177,684.75 is: 266,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,661.75 : 827,492.67 = 177,684.75 : x
  2. Step 2: Convert to fraction form
    551,661.75/827,492.67 = 177,684.75/x
  3. Step 3: Cross multiply
    551,661.75x = 827,492.67 × 177,684.75
  4. Step 4: Simplify right side
    551,661.75x = 147,032,828,195.78
  5. Step 5: Solve for x
    x = 147,032,828,195.78/551,661.75
  6. Step 6: Final answer
    x = 266,527.14

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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.