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Finding the Fourth Proportional to 361,838.61, 499,299.57 and 208,825.16

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Solution

The fourth proportional to 361,838.61, 499,299.57 and 208,825.16 is: 288,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,838.61 : 499,299.57 = 208,825.16 : x
  2. Step 2: Convert to fraction form
    361,838.61/499,299.57 = 208,825.16/x
  3. Step 3: Cross multiply
    361,838.61x = 499,299.57 × 208,825.16
  4. Step 4: Simplify right side
    361,838.61x = 104,266,310,096.68
  5. Step 5: Solve for x
    x = 104,266,310,096.68/361,838.61
  6. Step 6: Final answer
    x = 288,156.95

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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.