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Finding the Fourth Proportional to 551,154.01, 826,409.24 and 213,800.46

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Solution

The fourth proportional to 551,154.01, 826,409.24 and 213,800.46 is: 320,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,154.01 : 826,409.24 = 213,800.46 : x
  2. Step 2: Convert to fraction form
    551,154.01/826,409.24 = 213,800.46/x
  3. Step 3: Cross multiply
    551,154.01x = 826,409.24 × 213,800.46
  4. Step 4: Simplify right side
    551,154.01x = 176,686,675,660.25
  5. Step 5: Solve for x
    x = 176,686,675,660.25/551,154.01
  6. Step 6: Final answer
    x = 320,575.87

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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.