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Finding the Fourth Proportional to 361,838.10, 499,316.22 and 200,681.58

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Solution

The fourth proportional to 361,838.10, 499,316.22 and 200,681.58 is: 276,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,838.10 : 499,316.22 = 200,681.58 : x
  2. Step 2: Convert to fraction form
    361,838.10/499,316.22 = 200,681.58/x
  3. Step 3: Cross multiply
    361,838.10x = 499,316.22 × 200,681.58
  4. Step 4: Simplify right side
    361,838.10x = 100,203,567,949.23
  5. Step 5: Solve for x
    x = 100,203,567,949.23/361,838.10
  6. Step 6: Final answer
    x = 276,929.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.