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Finding the Fourth Proportional to 504,464.82, 695,767.79 and 323,193.61

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Solution

The fourth proportional to 504,464.82, 695,767.79 and 323,193.61 is: 445,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,464.82 : 695,767.79 = 323,193.61 : x
  2. Step 2: Convert to fraction form
    504,464.82/695,767.79 = 323,193.61/x
  3. Step 3: Cross multiply
    504,464.82x = 695,767.79 × 323,193.61
  4. Step 4: Simplify right side
    504,464.82x = 224,867,703,771.82
  5. Step 5: Solve for x
    x = 224,867,703,771.82/504,464.82
  6. Step 6: Final answer
    x = 445,754.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.