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Finding the Fourth Proportional to 509,865.60, 764,774.10 and 172,873.20

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Solution

The fourth proportional to 509,865.60, 764,774.10 and 172,873.20 is: 259,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,865.60 : 764,774.10 = 172,873.20 : x
  2. Step 2: Convert to fraction form
    509,865.60/764,774.10 = 172,873.20/x
  3. Step 3: Cross multiply
    509,865.60x = 764,774.10 × 172,873.20
  4. Step 4: Simplify right side
    509,865.60x = 132,208,945,944.12
  5. Step 5: Solve for x
    x = 132,208,945,944.12/509,865.60
  6. Step 6: Final answer
    x = 259,301.56

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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.