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Finding the Fourth Proportional to 370,000.89, 510,601.86 and 200,235.15

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Solution

The fourth proportional to 370,000.89, 510,601.86 and 200,235.15 is: 276,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,000.89 : 510,601.86 = 200,235.15 : x
  2. Step 2: Convert to fraction form
    370,000.89/510,601.86 = 200,235.15/x
  3. Step 3: Cross multiply
    370,000.89x = 510,601.86 × 200,235.15
  4. Step 4: Simplify right side
    370,000.89x = 102,240,440,027.38
  5. Step 5: Solve for x
    x = 102,240,440,027.38/370,000.89
  6. Step 6: Final answer
    x = 276,324.85

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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.