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Finding the Fourth Proportional to 361,151.42, 498,387.96 and 208,188.77

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Solution

The fourth proportional to 361,151.42, 498,387.96 and 208,188.77 is: 287,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,151.42 : 498,387.96 = 208,188.77 : x
  2. Step 2: Convert to fraction form
    361,151.42/498,387.96 = 208,188.77/x
  3. Step 3: Cross multiply
    361,151.42x = 498,387.96 × 208,188.77
  4. Step 4: Simplify right side
    361,151.42x = 103,758,773,883.27
  5. Step 5: Solve for x
    x = 103,758,773,883.27/361,151.42
  6. Step 6: Final answer
    x = 287,299.92

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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.