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Finding the Fourth Proportional to 361,311.52, 498,613.76 and 200,176.09

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Solution

The fourth proportional to 361,311.52, 498,613.76 and 200,176.09 is: 276,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,311.52 : 498,613.76 = 200,176.09 : x
  2. Step 2: Convert to fraction form
    361,311.52/498,613.76 = 200,176.09/x
  3. Step 3: Cross multiply
    361,311.52x = 498,613.76 × 200,176.09
  4. Step 4: Simplify right side
    361,311.52x = 99,810,552,897.00
  5. Step 5: Solve for x
    x = 99,810,552,897.00/361,311.52
  6. Step 6: Final answer
    x = 276,245.14

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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.