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Finding the Fourth Proportional to 564,511.52, 846,933.39 and 227,378.63

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Solution

The fourth proportional to 564,511.52, 846,933.39 and 227,378.63 is: 341,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,511.52 : 846,933.39 = 227,378.63 : x
  2. Step 2: Convert to fraction form
    564,511.52/846,933.39 = 227,378.63/x
  3. Step 3: Cross multiply
    564,511.52x = 846,933.39 × 227,378.63
  4. Step 4: Simplify right side
    564,511.52x = 192,574,556,036.79
  5. Step 5: Solve for x
    x = 192,574,556,036.79/564,511.52
  6. Step 6: Final answer
    x = 341,134.85

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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.