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Finding the Fourth Proportional to 534,317.94, 801,227.73 and 309,742.59

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Solution

The fourth proportional to 534,317.94, 801,227.73 and 309,742.59 is: 464,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,317.94 : 801,227.73 = 309,742.59 : x
  2. Step 2: Convert to fraction form
    534,317.94/801,227.73 = 309,742.59/x
  3. Step 3: Cross multiply
    534,317.94x = 801,227.73 × 309,742.59
  4. Step 4: Simplify right side
    534,317.94x = 248,174,352,270.02
  5. Step 5: Solve for x
    x = 248,174,352,270.02/534,317.94
  6. Step 6: Final answer
    x = 464,469.44

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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.