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Finding the Fourth Proportional to 564,375.23, 846,342.32 and 204,460.64

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Solution

The fourth proportional to 564,375.23, 846,342.32 and 204,460.64 is: 306,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,375.23 : 846,342.32 = 204,460.64 : x
  2. Step 2: Convert to fraction form
    564,375.23/846,342.32 = 204,460.64/x
  3. Step 3: Cross multiply
    564,375.23x = 846,342.32 × 204,460.64
  4. Step 4: Simplify right side
    564,375.23x = 173,043,687,152.27
  5. Step 5: Solve for x
    x = 173,043,687,152.27/564,375.23
  6. Step 6: Final answer
    x = 306,611.06

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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.