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Finding the Fourth Proportional to 652,723.58, 978,863.64 and 226,159.86

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Solution

The fourth proportional to 652,723.58, 978,863.64 and 226,159.86 is: 339,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,723.58 : 978,863.64 = 226,159.86 : x
  2. Step 2: Convert to fraction form
    652,723.58/978,863.64 = 226,159.86/x
  3. Step 3: Cross multiply
    652,723.58x = 978,863.64 × 226,159.86
  4. Step 4: Simplify right side
    652,723.58x = 221,379,663,781.49
  5. Step 5: Solve for x
    x = 221,379,663,781.49/652,723.58
  6. Step 6: Final answer
    x = 339,162.96

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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.