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Finding the Fourth Proportional to 361,472.45, 498,802.61 and 200,334.29

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Solution

The fourth proportional to 361,472.45, 498,802.61 and 200,334.29 is: 276,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,472.45 : 498,802.61 = 200,334.29 : x
  2. Step 2: Convert to fraction form
    361,472.45/498,802.61 = 200,334.29/x
  3. Step 3: Cross multiply
    361,472.45x = 498,802.61 × 200,334.29
  4. Step 4: Simplify right side
    361,472.45x = 99,927,265,722.83
  5. Step 5: Solve for x
    x = 99,927,265,722.83/361,472.45
  6. Step 6: Final answer
    x = 276,445.04

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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.