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Finding the Fourth Proportional to 378,169.29, 522,007.34 and 337,812.93

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Solution

The fourth proportional to 378,169.29, 522,007.34 and 337,812.93 is: 466,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,169.29 : 522,007.34 = 337,812.93 : x
  2. Step 2: Convert to fraction form
    378,169.29/522,007.34 = 337,812.93/x
  3. Step 3: Cross multiply
    378,169.29x = 522,007.34 × 337,812.93
  4. Step 4: Simplify right side
    378,169.29x = 176,340,827,317.84
  5. Step 5: Solve for x
    x = 176,340,827,317.84/378,169.29
  6. Step 6: Final answer
    x = 466,301.29

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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.