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Finding the Fourth Proportional to 564,305.05, 846,485.25 and 227,300.20

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Solution

The fourth proportional to 564,305.05, 846,485.25 and 227,300.20 is: 340,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,305.05 : 846,485.25 = 227,300.20 : x
  2. Step 2: Convert to fraction form
    564,305.05/846,485.25 = 227,300.20/x
  3. Step 3: Cross multiply
    564,305.05x = 846,485.25 × 227,300.20
  4. Step 4: Simplify right side
    564,305.05x = 192,406,262,389.62
  5. Step 5: Solve for x
    x = 192,406,262,389.62/564,305.05
  6. Step 6: Final answer
    x = 340,961.44

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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.