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Finding the Fourth Proportional to 378,507.24, 567,763.20 and 112,269.96

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Solution

The fourth proportional to 378,507.24, 567,763.20 and 112,269.96 is: 168,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,507.24 : 567,763.20 = 112,269.96 : x
  2. Step 2: Convert to fraction form
    378,507.24/567,763.20 = 112,269.96/x
  3. Step 3: Cross multiply
    378,507.24x = 567,763.20 × 112,269.96
  4. Step 4: Simplify right side
    378,507.24x = 63,742,751,753.47
  5. Step 5: Solve for x
    x = 63,742,751,753.47/378,507.24
  6. Step 6: Final answer
    x = 168,405.63

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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.