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Finding the Fourth Proportional to 364,086.14, 502,455.87 and 202,942.34

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Solution

The fourth proportional to 364,086.14, 502,455.87 and 202,942.34 is: 280,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,086.14 : 502,455.87 = 202,942.34 : x
  2. Step 2: Convert to fraction form
    364,086.14/502,455.87 = 202,942.34/x
  3. Step 3: Cross multiply
    364,086.14x = 502,455.87 × 202,942.34
  4. Step 4: Simplify right side
    364,086.14x = 101,969,570,004.54
  5. Step 5: Solve for x
    x = 101,969,570,004.54/364,086.14
  6. Step 6: Final answer
    x = 280,069.90

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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.