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Finding the Fourth Proportional to 361,915.56, 499,444.74 and 200,773.80

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Solution

The fourth proportional to 361,915.56, 499,444.74 and 200,773.80 is: 277,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,915.56 : 499,444.74 = 200,773.80 : x
  2. Step 2: Convert to fraction form
    361,915.56/499,444.74 = 200,773.80/x
  3. Step 3: Cross multiply
    361,915.56x = 499,444.74 × 200,773.80
  4. Step 4: Simplify right side
    361,915.56x = 100,275,418,339.81
  5. Step 5: Solve for x
    x = 100,275,418,339.81/361,915.56
  6. Step 6: Final answer
    x = 277,068.55

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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.