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Finding the Fourth Proportional to 361,105.30, 498,319.20 and 199,956.90

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Solution

The fourth proportional to 361,105.30, 498,319.20 and 199,956.90 is: 275,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,105.30 : 498,319.20 = 199,956.90 : x
  2. Step 2: Convert to fraction form
    361,105.30/498,319.20 = 199,956.90/x
  3. Step 3: Cross multiply
    361,105.30x = 498,319.20 × 199,956.90
  4. Step 4: Simplify right side
    361,105.30x = 99,642,362,442.48
  5. Step 5: Solve for x
    x = 99,642,362,442.48/361,105.30
  6. Step 6: Final answer
    x = 275,937.14

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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.