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Finding the Fourth Proportional to 361,100.61, 498,312.74 and 199,952.19

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Solution

The fourth proportional to 361,100.61, 498,312.74 and 199,952.19 is: 275,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,100.61 : 498,312.74 = 199,952.19 : x
  2. Step 2: Convert to fraction form
    361,100.61/498,312.74 = 199,952.19/x
  3. Step 3: Cross multiply
    361,100.61x = 498,312.74 × 199,952.19
  4. Step 4: Simplify right side
    361,100.61x = 99,638,722,668.14
  5. Step 5: Solve for x
    x = 99,638,722,668.14/361,100.61
  6. Step 6: Final answer
    x = 275,930.64

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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.