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Finding the Fourth Proportional to 298,422.96, 411,692.88 and 196,317.04

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Solution

The fourth proportional to 298,422.96, 411,692.88 and 196,317.04 is: 270,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,422.96 : 411,692.88 = 196,317.04 : x
  2. Step 2: Convert to fraction form
    298,422.96/411,692.88 = 196,317.04/x
  3. Step 3: Cross multiply
    298,422.96x = 411,692.88 × 196,317.04
  4. Step 4: Simplify right side
    298,422.96x = 80,822,327,590.68
  5. Step 5: Solve for x
    x = 80,822,327,590.68/298,422.96
  6. Step 6: Final answer
    x = 270,831.47

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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.