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Finding the Fourth Proportional to 314,567.94, 471,519.57 and 225,773.31

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Solution

The fourth proportional to 314,567.94, 471,519.57 and 225,773.31 is: 338,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567.94 : 471,519.57 = 225,773.31 : x
  2. Step 2: Convert to fraction form
    314,567.94/471,519.57 = 225,773.31/x
  3. Step 3: Cross multiply
    314,567.94x = 471,519.57 × 225,773.31
  4. Step 4: Simplify right side
    314,567.94x = 106,456,534,048.68
  5. Step 5: Solve for x
    x = 106,456,534,048.68/314,567.94
  6. Step 6: Final answer
    x = 338,421.44

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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.