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Finding the Fourth Proportional to 468,396, 702,613.44 and 135,972

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Solution

The fourth proportional to 468,396, 702,613.44 and 135,972 is: 203,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,396 : 702,613.44 = 135,972 : x
  2. Step 2: Convert to fraction form
    468,396/702,613.44 = 135,972/x
  3. Step 3: Cross multiply
    468,396x = 702,613.44 × 135,972
  4. Step 4: Simplify right side
    468,396x = 95,535,754,663.68
  5. Step 5: Solve for x
    x = 95,535,754,663.68/468,396
  6. Step 6: Final answer
    x = 203,963.64

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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.