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Finding the Fourth Proportional to 361,804.98, 499,257.36 and 200,657.10

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Solution

The fourth proportional to 361,804.98, 499,257.36 and 200,657.10 is: 276,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,804.98 : 499,257.36 = 200,657.10 : x
  2. Step 2: Convert to fraction form
    361,804.98/499,257.36 = 200,657.10/x
  3. Step 3: Cross multiply
    361,804.98x = 499,257.36 × 200,657.10
  4. Step 4: Simplify right side
    361,804.98x = 100,179,534,011.26
  5. Step 5: Solve for x
    x = 100,179,534,011.26/361,804.98
  6. Step 6: Final answer
    x = 276,888.21

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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.