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Finding the Fourth Proportional to 551,644.50, 827,466.80 and 177,667.50

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Solution

The fourth proportional to 551,644.50, 827,466.80 and 177,667.50 is: 266,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,644.50 : 827,466.80 = 177,667.50 : x
  2. Step 2: Convert to fraction form
    551,644.50/827,466.80 = 177,667.50/x
  3. Step 3: Cross multiply
    551,644.50x = 827,466.80 × 177,667.50
  4. Step 4: Simplify right side
    551,644.50x = 147,013,956,800.66
  5. Step 5: Solve for x
    x = 147,013,956,800.66/551,644.50
  6. Step 6: Final answer
    x = 266,501.26

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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.