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Finding the Fourth Proportional to 361,646.95, 499,102.37 and 200,552.53

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Solution

The fourth proportional to 361,646.95, 499,102.37 and 200,552.53 is: 276,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,646.95 : 499,102.37 = 200,552.53 : x
  2. Step 2: Convert to fraction form
    361,646.95/499,102.37 = 200,552.53/x
  3. Step 3: Cross multiply
    361,646.95x = 499,102.37 × 200,552.53
  4. Step 4: Simplify right side
    361,646.95x = 100,096,243,032.50
  5. Step 5: Solve for x
    x = 100,096,243,032.50/361,646.95
  6. Step 6: Final answer
    x = 276,778.89

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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.