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Finding the Fourth Proportional to 564,296.52, 846,472.46 and 227,291.67

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Solution

The fourth proportional to 564,296.52, 846,472.46 and 227,291.67 is: 340,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,296.52 : 846,472.46 = 227,291.67 : x
  2. Step 2: Convert to fraction form
    564,296.52/846,472.46 = 227,291.67/x
  3. Step 3: Cross multiply
    564,296.52x = 846,472.46 × 227,291.67
  4. Step 4: Simplify right side
    564,296.52x = 192,396,140,143.35
  5. Step 5: Solve for x
    x = 192,396,140,143.35/564,296.52
  6. Step 6: Final answer
    x = 340,948.65

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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.