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Finding the Fourth Proportional to 361,553.82, 498,968.29 and 200,415.66

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Solution

The fourth proportional to 361,553.82, 498,968.29 and 200,415.66 is: 276,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,553.82 : 498,968.29 = 200,415.66 : x
  2. Step 2: Convert to fraction form
    361,553.82/498,968.29 = 200,415.66/x
  3. Step 3: Cross multiply
    361,553.82x = 498,968.29 × 200,415.66
  4. Step 4: Simplify right side
    361,553.82x = 100,001,058,658.38
  5. Step 5: Solve for x
    x = 100,001,058,658.38/361,553.82
  6. Step 6: Final answer
    x = 276,586.92

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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.