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Finding the Fourth Proportional to 279,784.42, 419,800.56 and 146,632.84

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Solution

The fourth proportional to 279,784.42, 419,800.56 and 146,632.84 is: 220,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,784.42 : 419,800.56 = 146,632.84 : x
  2. Step 2: Convert to fraction form
    279,784.42/419,800.56 = 146,632.84/x
  3. Step 3: Cross multiply
    279,784.42x = 419,800.56 × 146,632.84
  4. Step 4: Simplify right side
    279,784.42x = 61,556,548,346.39
  5. Step 5: Solve for x
    x = 61,556,548,346.39/279,784.42
  6. Step 6: Final answer
    x = 220,014.21

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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.