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Finding the Fourth Proportional to 290,135.77, 400,395.28 and 162,819.16

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Solution

The fourth proportional to 290,135.77, 400,395.28 and 162,819.16 is: 224,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,135.77 : 400,395.28 = 162,819.16 : x
  2. Step 2: Convert to fraction form
    290,135.77/400,395.28 = 162,819.16/x
  3. Step 3: Cross multiply
    290,135.77x = 400,395.28 × 162,819.16
  4. Step 4: Simplify right side
    290,135.77x = 65,192,023,157.56
  5. Step 5: Solve for x
    x = 65,192,023,157.56/290,135.77
  6. Step 6: Final answer
    x = 224,694.88

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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.