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Finding the Fourth Proportional to 551,642.50, 827,463.80 and 177,665.50

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Solution

The fourth proportional to 551,642.50, 827,463.80 and 177,665.50 is: 266,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,642.50 : 827,463.80 = 177,665.50 : x
  2. Step 2: Convert to fraction form
    551,642.50/827,463.80 = 177,665.50/x
  3. Step 3: Cross multiply
    551,642.50x = 827,463.80 × 177,665.50
  4. Step 4: Simplify right side
    551,642.50x = 147,011,769,758.90
  5. Step 5: Solve for x
    x = 147,011,769,758.90/551,642.50
  6. Step 6: Final answer
    x = 266,498.27

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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.