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Finding the Fourth Proportional to 364,321.16, 502,763.67 and 200,973.98

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Solution

The fourth proportional to 364,321.16, 502,763.67 and 200,973.98 is: 277,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321.16 : 502,763.67 = 200,973.98 : x
  2. Step 2: Convert to fraction form
    364,321.16/502,763.67 = 200,973.98/x
  3. Step 3: Cross multiply
    364,321.16x = 502,763.67 × 200,973.98
  4. Step 4: Simplify right side
    364,321.16x = 101,042,413,245.49
  5. Step 5: Solve for x
    x = 101,042,413,245.49/364,321.16
  6. Step 6: Final answer
    x = 277,344.35

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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.