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Finding the Fourth Proportional to 322,021.98, 482,073.12 and 195,280.47

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Solution

The fourth proportional to 322,021.98, 482,073.12 and 195,280.47 is: 292,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,021.98 : 482,073.12 = 195,280.47 : x
  2. Step 2: Convert to fraction form
    322,021.98/482,073.12 = 195,280.47/x
  3. Step 3: Cross multiply
    322,021.98x = 482,073.12 × 195,280.47
  4. Step 4: Simplify right side
    322,021.98x = 94,139,465,447.97
  5. Step 5: Solve for x
    x = 94,139,465,447.97/322,021.98
  6. Step 6: Final answer
    x = 292,338.63

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1.5x scale

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.