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Finding the Fourth Proportional to 551,651.13, 827,476.74 and 177,674.13

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Solution

The fourth proportional to 551,651.13, 827,476.74 and 177,674.13 is: 266,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,651.13 : 827,476.74 = 177,674.13 : x
  2. Step 2: Convert to fraction form
    551,651.13/827,476.74 = 177,674.13/x
  3. Step 3: Cross multiply
    551,651.13x = 827,476.74 × 177,674.13
  4. Step 4: Simplify right side
    551,651.13x = 147,021,209,874.74
  5. Step 5: Solve for x
    x = 147,021,209,874.74/551,651.13
  6. Step 6: Final answer
    x = 266,511.21

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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.