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Finding the Fourth Proportional to 564,377.23, 846,345.31 and 204,462.64

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Solution

The fourth proportional to 564,377.23, 846,345.31 and 204,462.64 is: 306,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,377.23 : 846,345.31 = 204,462.64 : x
  2. Step 2: Convert to fraction form
    564,377.23/846,345.31 = 204,462.64/x
  3. Step 3: Cross multiply
    564,377.23x = 846,345.31 × 204,462.64
  4. Step 4: Simplify right side
    564,377.23x = 173,045,996,434.22
  5. Step 5: Solve for x
    x = 173,045,996,434.22/564,377.23
  6. Step 6: Final answer
    x = 306,614.06

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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.