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Finding the Fourth Proportional to 365,098.74, 503,826.42 and 199,520.16

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Solution

The fourth proportional to 365,098.74, 503,826.42 and 199,520.16 is: 275,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,098.74 : 503,826.42 = 199,520.16 : x
  2. Step 2: Convert to fraction form
    365,098.74/503,826.42 = 199,520.16/x
  3. Step 3: Cross multiply
    365,098.74x = 503,826.42 × 199,520.16
  4. Step 4: Simplify right side
    365,098.74x = 100,523,527,930.63
  5. Step 5: Solve for x
    x = 100,523,527,930.63/365,098.74
  6. Step 6: Final answer
    x = 275,332.44

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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.