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Finding the Fourth Proportional to 347,034.20, 520,065.30 and 276,078.20

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Solution

The fourth proportional to 347,034.20, 520,065.30 and 276,078.20 is: 413,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,034.20 : 520,065.30 = 276,078.20 : x
  2. Step 2: Convert to fraction form
    347,034.20/520,065.30 = 276,078.20/x
  3. Step 3: Cross multiply
    347,034.20x = 520,065.30 × 276,078.20
  4. Step 4: Simplify right side
    347,034.20x = 143,578,691,906.46
  5. Step 5: Solve for x
    x = 143,578,691,906.46/347,034.20
  6. Step 6: Final answer
    x = 413,730.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.