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Finding the Fourth Proportional to 364,595.49, 503,141.81 and 201,252.04

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Solution

The fourth proportional to 364,595.49, 503,141.81 and 201,252.04 is: 277,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,595.49 : 503,141.81 = 201,252.04 : x
  2. Step 2: Convert to fraction form
    364,595.49/503,141.81 = 201,252.04/x
  3. Step 3: Cross multiply
    364,595.49x = 503,141.81 × 201,252.04
  4. Step 4: Simplify right side
    364,595.49x = 101,258,314,162.37
  5. Step 5: Solve for x
    x = 101,258,314,162.37/364,595.49
  6. Step 6: Final answer
    x = 277,727.83

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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.