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Finding the Fourth Proportional to 400,254.08, 600,381.08 and 189,777.20

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Solution

The fourth proportional to 400,254.08, 600,381.08 and 189,777.20 is: 284,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,254.08 : 600,381.08 = 189,777.20 : x
  2. Step 2: Convert to fraction form
    400,254.08/600,381.08 = 189,777.20/x
  3. Step 3: Cross multiply
    400,254.08x = 600,381.08 × 189,777.20
  4. Step 4: Simplify right side
    400,254.08x = 113,938,640,295.38
  5. Step 5: Solve for x
    x = 113,938,640,295.38/400,254.08
  6. Step 6: Final answer
    x = 284,665.78

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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.