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Finding the Fourth Proportional to 370,096.98, 510,733.70 and 200,331.11

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Solution

The fourth proportional to 370,096.98, 510,733.70 and 200,331.11 is: 276,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,096.98 : 510,733.70 = 200,331.11 : x
  2. Step 2: Convert to fraction form
    370,096.98/510,733.70 = 200,331.11/x
  3. Step 3: Cross multiply
    370,096.98x = 510,733.70 × 200,331.11
  4. Step 4: Simplify right side
    370,096.98x = 102,315,845,480.08
  5. Step 5: Solve for x
    x = 102,315,845,480.08/370,096.98
  6. Step 6: Final answer
    x = 276,456.85

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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.