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Finding the Fourth Proportional to 364,338.54, 502,799.00 and 203,200.38

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Solution

The fourth proportional to 364,338.54, 502,799.00 and 203,200.38 is: 280,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,338.54 : 502,799.00 = 203,200.38 : x
  2. Step 2: Convert to fraction form
    364,338.54/502,799.00 = 203,200.38/x
  3. Step 3: Cross multiply
    364,338.54x = 502,799.00 × 203,200.38
  4. Step 4: Simplify right side
    364,338.54x = 102,168,946,847.62
  5. Step 5: Solve for x
    x = 102,168,946,847.62/364,338.54
  6. Step 6: Final answer
    x = 280,423.11

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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.