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Finding the Fourth Proportional to 364,346.37, 502,774.07 and 200,993.13

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Solution

The fourth proportional to 364,346.37, 502,774.07 and 200,993.13 is: 277,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,346.37 : 502,774.07 = 200,993.13 : x
  2. Step 2: Convert to fraction form
    364,346.37/502,774.07 = 200,993.13/x
  3. Step 3: Cross multiply
    364,346.37x = 502,774.07 × 200,993.13
  4. Step 4: Simplify right side
    364,346.37x = 101,054,133,007.17
  5. Step 5: Solve for x
    x = 101,054,133,007.17/364,346.37
  6. Step 6: Final answer
    x = 277,357.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.