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Finding the Fourth Proportional to 298,381.09, 411,773.85 and 162,424.18

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Solution

The fourth proportional to 298,381.09, 411,773.85 and 162,424.18 is: 224,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,381.09 : 411,773.85 = 162,424.18 : x
  2. Step 2: Convert to fraction form
    298,381.09/411,773.85 = 162,424.18/x
  3. Step 3: Cross multiply
    298,381.09x = 411,773.85 × 162,424.18
  4. Step 4: Simplify right side
    298,381.09x = 66,882,028,902.26
  5. Step 5: Solve for x
    x = 66,882,028,902.26/298,381.09
  6. Step 6: Final answer
    x = 224,149.69

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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.