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Finding the Fourth Proportional to 501,698.63, 752,540.31 and 347,682.53

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Solution

The fourth proportional to 501,698.63, 752,540.31 and 347,682.53 is: 521,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,698.63 : 752,540.31 = 347,682.53 : x
  2. Step 2: Convert to fraction form
    501,698.63/752,540.31 = 347,682.53/x
  3. Step 3: Cross multiply
    501,698.63x = 752,540.31 × 347,682.53
  4. Step 4: Simplify right side
    501,698.63x = 261,645,115,145.08
  5. Step 5: Solve for x
    x = 261,645,115,145.08/501,698.63
  6. Step 6: Final answer
    x = 521,518.50

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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.