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Finding the Fourth Proportional to 361,875.78, 499,391.73 and 200,744.10

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Solution

The fourth proportional to 361,875.78, 499,391.73 and 200,744.10 is: 277,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,875.78 : 499,391.73 = 200,744.10 : x
  2. Step 2: Convert to fraction form
    361,875.78/499,391.73 = 200,744.10/x
  3. Step 3: Cross multiply
    361,875.78x = 499,391.73 × 200,744.10
  4. Step 4: Simplify right side
    361,875.78x = 100,249,943,386.29
  5. Step 5: Solve for x
    x = 100,249,943,386.29/361,875.78
  6. Step 6: Final answer
    x = 277,028.61

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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.