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Finding the Fourth Proportional to 564,364.20, 846,537 and 227,396.64

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Solution

The fourth proportional to 564,364.20, 846,537 and 227,396.64 is: 341,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,364.20 : 846,537 = 227,396.64 : x
  2. Step 2: Convert to fraction form
    564,364.20/846,537 = 227,396.64/x
  3. Step 3: Cross multiply
    564,364.20x = 846,537 × 227,396.64
  4. Step 4: Simplify right side
    564,364.20x = 192,499,669,435.68
  5. Step 5: Solve for x
    x = 192,499,669,435.68/564,364.20
  6. Step 6: Final answer
    x = 341,091.21

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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.