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Finding the Fourth Proportional to 509,375.30, 764,088.34 and 193,856.66

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Solution

The fourth proportional to 509,375.30, 764,088.34 and 193,856.66 is: 290,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,375.30 : 764,088.34 = 193,856.66 : x
  2. Step 2: Convert to fraction form
    509,375.30/764,088.34 = 193,856.66/x
  3. Step 3: Cross multiply
    509,375.30x = 764,088.34 × 193,856.66
  4. Step 4: Simplify right side
    509,375.30x = 148,123,613,537.34
  5. Step 5: Solve for x
    x = 148,123,613,537.34/509,375.30
  6. Step 6: Final answer
    x = 290,794.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.