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Finding the Fourth Proportional to 301,978.80, 451,801.80 and 197,002.80

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Solution

The fourth proportional to 301,978.80, 451,801.80 and 197,002.80 is: 294,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,978.80 : 451,801.80 = 197,002.80 : x
  2. Step 2: Convert to fraction form
    301,978.80/451,801.80 = 197,002.80/x
  3. Step 3: Cross multiply
    301,978.80x = 451,801.80 × 197,002.80
  4. Step 4: Simplify right side
    301,978.80x = 89,006,219,645.04
  5. Step 5: Solve for x
    x = 89,006,219,645.04/301,978.80
  6. Step 6: Final answer
    x = 294,743.27

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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.