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Finding the Fourth Proportional to 551,641.50, 827,462.30 and 177,664.50

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Solution

The fourth proportional to 551,641.50, 827,462.30 and 177,664.50 is: 266,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,641.50 : 827,462.30 = 177,664.50 : x
  2. Step 2: Convert to fraction form
    551,641.50/827,462.30 = 177,664.50/x
  3. Step 3: Cross multiply
    551,641.50x = 827,462.30 × 177,664.50
  4. Step 4: Simplify right side
    551,641.50x = 147,010,674,910.03
  5. Step 5: Solve for x
    x = 147,010,674,910.03/551,641.50
  6. Step 6: Final answer
    x = 266,496.76

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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.