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Finding the Fourth Proportional to 361,815.34, 499,335.82 and 200,722.28

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Solution

The fourth proportional to 361,815.34, 499,335.82 and 200,722.28 is: 277,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,815.34 : 499,335.82 = 200,722.28 : x
  2. Step 2: Convert to fraction form
    361,815.34/499,335.82 = 200,722.28/x
  3. Step 3: Cross multiply
    361,815.34x = 499,335.82 × 200,722.28
  4. Step 4: Simplify right side
    361,815.34x = 100,227,824,276.07
  5. Step 5: Solve for x
    x = 100,227,824,276.07/361,815.34
  6. Step 6: Final answer
    x = 277,013.75

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1.5x scale

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.