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Finding the Fourth Proportional to 564,252.72, 846,357.24 and 143,539.56

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Solution

The fourth proportional to 564,252.72, 846,357.24 and 143,539.56 is: 215,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,252.72 : 846,357.24 = 143,539.56 : x
  2. Step 2: Convert to fraction form
    564,252.72/846,357.24 = 143,539.56/x
  3. Step 3: Cross multiply
    564,252.72x = 846,357.24 × 143,539.56
  4. Step 4: Simplify right side
    564,252.72x = 121,485,745,832.41
  5. Step 5: Solve for x
    x = 121,485,745,832.41/564,252.72
  6. Step 6: Final answer
    x = 215,303.78

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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.