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Finding the Fourth Proportional to 564,133.64, 846,325.04 and 209,147.69

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Solution

The fourth proportional to 564,133.64, 846,325.04 and 209,147.69 is: 313,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,133.64 : 846,325.04 = 209,147.69 : x
  2. Step 2: Convert to fraction form
    564,133.64/846,325.04 = 209,147.69/x
  3. Step 3: Cross multiply
    564,133.64x = 846,325.04 × 209,147.69
  4. Step 4: Simplify right side
    564,133.64x = 177,006,928,175.23
  5. Step 5: Solve for x
    x = 177,006,928,175.23/564,133.64
  6. Step 6: Final answer
    x = 313,767.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.