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Finding the Fourth Proportional to 564,523.72, 846,778.22 and 138,063.24

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Solution

The fourth proportional to 564,523.72, 846,778.22 and 138,063.24 is: 207,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,523.72 : 846,778.22 = 138,063.24 : x
  2. Step 2: Convert to fraction form
    564,523.72/846,778.22 = 138,063.24/x
  3. Step 3: Cross multiply
    564,523.72x = 846,778.22 × 138,063.24
  4. Step 4: Simplify right side
    564,523.72x = 116,908,944,614.63
  5. Step 5: Solve for x
    x = 116,908,944,614.63/564,523.72
  6. Step 6: Final answer
    x = 207,093.06

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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.