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Finding the Fourth Proportional to 198,329.50, 297,494.25 and 50,585.50

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Solution

The fourth proportional to 198,329.50, 297,494.25 and 50,585.50 is: 75,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,329.50 : 297,494.25 = 50,585.50 : x
  2. Step 2: Convert to fraction form
    198,329.50/297,494.25 = 50,585.50/x
  3. Step 3: Cross multiply
    198,329.50x = 297,494.25 × 50,585.50
  4. Step 4: Simplify right side
    198,329.50x = 15,048,895,383.38
  5. Step 5: Solve for x
    x = 15,048,895,383.38/198,329.50
  6. Step 6: Final answer
    x = 75,878.25

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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.