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Finding the Fourth Proportional to 564,376.20, 846,555 and 227,408.64

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Solution

The fourth proportional to 564,376.20, 846,555 and 227,408.64 is: 341,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,376.20 : 846,555 = 227,408.64 : x
  2. Step 2: Convert to fraction form
    564,376.20/846,555 = 227,408.64/x
  3. Step 3: Cross multiply
    564,376.20x = 846,555 × 227,408.64
  4. Step 4: Simplify right side
    564,376.20x = 192,513,921,235.20
  5. Step 5: Solve for x
    x = 192,513,921,235.20/564,376.20
  6. Step 6: Final answer
    x = 341,109.21

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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.