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Finding the Fourth Proportional to 463,952.82, 695,732.27 and 164,508.78

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Solution

The fourth proportional to 463,952.82, 695,732.27 and 164,508.78 is: 246,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,952.82 : 695,732.27 = 164,508.78 : x
  2. Step 2: Convert to fraction form
    463,952.82/695,732.27 = 164,508.78/x
  3. Step 3: Cross multiply
    463,952.82x = 695,732.27 × 164,508.78
  4. Step 4: Simplify right side
    463,952.82x = 114,454,066,121.79
  5. Step 5: Solve for x
    x = 114,454,066,121.79/463,952.82
  6. Step 6: Final answer
    x = 246,693.33

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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.