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Finding the Fourth Proportional to 413,902.10, 620,853.15 and 164,584.10

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Solution

The fourth proportional to 413,902.10, 620,853.15 and 164,584.10 is: 246,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,902.10 : 620,853.15 = 164,584.10 : x
  2. Step 2: Convert to fraction form
    413,902.10/620,853.15 = 164,584.10/x
  3. Step 3: Cross multiply
    413,902.10x = 620,853.15 × 164,584.10
  4. Step 4: Simplify right side
    413,902.10x = 102,182,556,924.92
  5. Step 5: Solve for x
    x = 102,182,556,924.92/413,902.10
  6. Step 6: Final answer
    x = 246,876.15

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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.