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Finding the Fourth Proportional to 564,348.31, 846,520.16 and 204,434.89

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Solution

The fourth proportional to 564,348.31, 846,520.16 and 204,434.89 is: 306,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,348.31 : 846,520.16 = 204,434.89 : x
  2. Step 2: Convert to fraction form
    564,348.31/846,520.16 = 204,434.89/x
  3. Step 3: Cross multiply
    564,348.31x = 846,520.16 × 204,434.89
  4. Step 4: Simplify right side
    564,348.31x = 173,058,257,415.58
  5. Step 5: Solve for x
    x = 173,058,257,415.58/564,348.31
  6. Step 6: Final answer
    x = 306,651.50

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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.