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Finding the Fourth Proportional to 361,049.34, 498,263.68 and 199,904.40

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Solution

The fourth proportional to 361,049.34, 498,263.68 and 199,904.40 is: 275,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,049.34 : 498,263.68 = 199,904.40 : x
  2. Step 2: Convert to fraction form
    361,049.34/498,263.68 = 199,904.40/x
  3. Step 3: Cross multiply
    361,049.34x = 498,263.68 × 199,904.40
  4. Step 4: Simplify right side
    361,049.34x = 99,605,101,992.19
  5. Step 5: Solve for x
    x = 99,605,101,992.19/361,049.34
  6. Step 6: Final answer
    x = 275,876.70

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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.