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Finding the Fourth Proportional to 551,053.78, 826,896.04 and 214,050.84

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Solution

The fourth proportional to 551,053.78, 826,896.04 and 214,050.84 is: 321,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,053.78 : 826,896.04 = 214,050.84 : x
  2. Step 2: Convert to fraction form
    551,053.78/826,896.04 = 214,050.84/x
  3. Step 3: Cross multiply
    551,053.78x = 826,896.04 × 214,050.84
  4. Step 4: Simplify right side
    551,053.78x = 176,997,791,954.67
  5. Step 5: Solve for x
    x = 176,997,791,954.67/551,053.78
  6. Step 6: Final answer
    x = 321,198.76

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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.