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Finding the Fourth Proportional to 361,454.33, 498,809.93 and 200,312.03

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Solution

The fourth proportional to 361,454.33, 498,809.93 and 200,312.03 is: 276,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,454.33 : 498,809.93 = 200,312.03 : x
  2. Step 2: Convert to fraction form
    361,454.33/498,809.93 = 200,312.03/x
  3. Step 3: Cross multiply
    361,454.33x = 498,809.93 × 200,312.03
  4. Step 4: Simplify right side
    361,454.33x = 99,917,626,166.85
  5. Step 5: Solve for x
    x = 99,917,626,166.85/361,454.33
  6. Step 6: Final answer
    x = 276,432.23

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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.