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Finding the Fourth Proportional to 567,843.75, 783,596.69 and 338,395.78

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Solution

The fourth proportional to 567,843.75, 783,596.69 and 338,395.78 is: 466,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,843.75 : 783,596.69 = 338,395.78 : x
  2. Step 2: Convert to fraction form
    567,843.75/783,596.69 = 338,395.78/x
  3. Step 3: Cross multiply
    567,843.75x = 783,596.69 × 338,395.78
  4. Step 4: Simplify right side
    567,843.75x = 265,165,811,425.99
  5. Step 5: Solve for x
    x = 265,165,811,425.99/567,843.75
  6. Step 6: Final answer
    x = 466,969.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.