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Finding the Fourth Proportional to 364,322.16, 502,765.05 and 200,974.98

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Solution

The fourth proportional to 364,322.16, 502,765.05 and 200,974.98 is: 277,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,322.16 : 502,765.05 = 200,974.98 : x
  2. Step 2: Convert to fraction form
    364,322.16/502,765.05 = 200,974.98/x
  3. Step 3: Cross multiply
    364,322.16x = 502,765.05 × 200,974.98
  4. Step 4: Simplify right side
    364,322.16x = 101,043,195,868.45
  5. Step 5: Solve for x
    x = 101,043,195,868.45/364,322.16
  6. Step 6: Final answer
    x = 277,345.73

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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.