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Finding the Fourth Proportional to 378,847.24, 567,365.76 and 209,948.56

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Solution

The fourth proportional to 378,847.24, 567,365.76 and 209,948.56 is: 314,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,847.24 : 567,365.76 = 209,948.56 : x
  2. Step 2: Convert to fraction form
    378,847.24/567,365.76 = 209,948.56/x
  3. Step 3: Cross multiply
    378,847.24x = 567,365.76 × 209,948.56
  4. Step 4: Simplify right side
    378,847.24x = 119,117,624,305.31
  5. Step 5: Solve for x
    x = 119,117,624,305.31/378,847.24
  6. Step 6: Final answer
    x = 314,421.25

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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.