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Finding the Fourth Proportional to 509,937.10, 764,249.55 and 310,045.30

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Solution

The fourth proportional to 509,937.10, 764,249.55 and 310,045.30 is: 464,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,937.10 : 764,249.55 = 310,045.30 : x
  2. Step 2: Convert to fraction form
    509,937.10/764,249.55 = 310,045.30/x
  3. Step 3: Cross multiply
    509,937.10x = 764,249.55 × 310,045.30
  4. Step 4: Simplify right side
    509,937.10x = 236,951,981,004.62
  5. Step 5: Solve for x
    x = 236,951,981,004.62/509,937.10
  6. Step 6: Final answer
    x = 464,669.04

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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.