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Finding the Fourth Proportional to 800,542.80, 1,200,710.52 and 301,842

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Solution

The fourth proportional to 800,542.80, 1,200,710.52 and 301,842 is: 452,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,542.80 : 1,200,710.52 = 301,842 : x
  2. Step 2: Convert to fraction form
    800,542.80/1,200,710.52 = 301,842/x
  3. Step 3: Cross multiply
    800,542.80x = 1,200,710.52 × 301,842
  4. Step 4: Simplify right side
    800,542.80x = 362,424,864,777.84
  5. Step 5: Solve for x
    x = 362,424,864,777.84/800,542.80
  6. Step 6: Final answer
    x = 452,723.91

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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.