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Finding the Fourth Proportional to 361,970.14, 499,578.75 and 200,876.93

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Solution

The fourth proportional to 361,970.14, 499,578.75 and 200,876.93 is: 277,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,970.14 : 499,578.75 = 200,876.93 : x
  2. Step 2: Convert to fraction form
    361,970.14/499,578.75 = 200,876.93/x
  3. Step 3: Cross multiply
    361,970.14x = 499,578.75 × 200,876.93
  4. Step 4: Simplify right side
    361,970.14x = 100,353,846,842.18
  5. Step 5: Solve for x
    x = 100,353,846,842.18/361,970.14
  6. Step 6: Final answer
    x = 277,243.44

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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.