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Finding the Fourth Proportional to 361,048.96, 498,263.13 and 199,904.01

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Solution

The fourth proportional to 361,048.96, 498,263.13 and 199,904.01 is: 275,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,048.96 : 498,263.13 = 199,904.01 : x
  2. Step 2: Convert to fraction form
    361,048.96/498,263.13 = 199,904.01/x
  3. Step 3: Cross multiply
    361,048.96x = 498,263.13 × 199,904.01
  4. Step 4: Simplify right side
    361,048.96x = 99,604,795,853.66
  5. Step 5: Solve for x
    x = 99,604,795,853.66/361,048.96
  6. Step 6: Final answer
    x = 275,876.15

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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.