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Finding the Fourth Proportional to 301,973.26, 453,107.50 and 213,793.42

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Solution

The fourth proportional to 301,973.26, 453,107.50 and 213,793.42 is: 320,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,973.26 : 453,107.50 = 213,793.42 : x
  2. Step 2: Convert to fraction form
    301,973.26/453,107.50 = 213,793.42/x
  3. Step 3: Cross multiply
    301,973.26x = 453,107.50 × 213,793.42
  4. Step 4: Simplify right side
    301,973.26x = 96,871,402,052.65
  5. Step 5: Solve for x
    x = 96,871,402,052.65/301,973.26
  6. Step 6: Final answer
    x = 320,794.64

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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.