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Finding the Fourth Proportional to 365,167.32, 503,929.56 and 201,819.24

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Solution

The fourth proportional to 365,167.32, 503,929.56 and 201,819.24 is: 278,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,167.32 : 503,929.56 = 201,819.24 : x
  2. Step 2: Convert to fraction form
    365,167.32/503,929.56 = 201,819.24/x
  3. Step 3: Cross multiply
    365,167.32x = 503,929.56 × 201,819.24
  4. Step 4: Simplify right side
    365,167.32x = 101,702,680,812.73
  5. Step 5: Solve for x
    x = 101,702,680,812.73/365,167.32
  6. Step 6: Final answer
    x = 278,509.81

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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.