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Finding the Fourth Proportional to 564,376.23, 846,343.81 and 204,461.64

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Solution

The fourth proportional to 564,376.23, 846,343.81 and 204,461.64 is: 306,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,376.23 : 846,343.81 = 204,461.64 : x
  2. Step 2: Convert to fraction form
    564,376.23/846,343.81 = 204,461.64/x
  3. Step 3: Cross multiply
    564,376.23x = 846,343.81 × 204,461.64
  4. Step 4: Simplify right side
    564,376.23x = 173,044,843,396.45
  5. Step 5: Solve for x
    x = 173,044,843,396.45/564,376.23
  6. Step 6: Final answer
    x = 306,612.56

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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.