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Finding the Fourth Proportional to 298,399.76, 411,778.80 and 162,433.92

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Solution

The fourth proportional to 298,399.76, 411,778.80 and 162,433.92 is: 224,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,399.76 : 411,778.80 = 162,433.92 : x
  2. Step 2: Convert to fraction form
    298,399.76/411,778.80 = 162,433.92/x
  3. Step 3: Cross multiply
    298,399.76x = 411,778.80 × 162,433.92
  4. Step 4: Simplify right side
    298,399.76x = 66,886,844,656.90
  5. Step 5: Solve for x
    x = 66,886,844,656.90/298,399.76
  6. Step 6: Final answer
    x = 224,151.80

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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.