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Finding the Fourth Proportional to 652,613, 978,919.50 and 231,905.48

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Solution

The fourth proportional to 652,613, 978,919.50 and 231,905.48 is: 347,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,613 : 978,919.50 = 231,905.48 : x
  2. Step 2: Convert to fraction form
    652,613/978,919.50 = 231,905.48/x
  3. Step 3: Cross multiply
    652,613x = 978,919.50 × 231,905.48
  4. Step 4: Simplify right side
    652,613x = 227,016,796,528.86
  5. Step 5: Solve for x
    x = 227,016,796,528.86/652,613
  6. Step 6: Final answer
    x = 347,858.22

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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.