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Finding the Fourth Proportional to 413,882.10, 620,823.15 and 164,564.10

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Solution

The fourth proportional to 413,882.10, 620,823.15 and 164,564.10 is: 246,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,882.10 : 620,823.15 = 164,564.10 : x
  2. Step 2: Convert to fraction form
    413,882.10/620,823.15 = 164,564.10/x
  3. Step 3: Cross multiply
    413,882.10x = 620,823.15 × 164,564.10
  4. Step 4: Simplify right side
    413,882.10x = 102,165,202,938.92
  5. Step 5: Solve for x
    x = 102,165,202,938.92/413,882.10
  6. Step 6: Final answer
    x = 246,846.15

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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.