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Finding the Fourth Proportional to 334,144.86, 501,051.47 and 106,410.80

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Solution

The fourth proportional to 334,144.86, 501,051.47 and 106,410.80 is: 159,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144.86 : 501,051.47 = 106,410.80 : x
  2. Step 2: Convert to fraction form
    334,144.86/501,051.47 = 106,410.80/x
  3. Step 3: Cross multiply
    334,144.86x = 501,051.47 × 106,410.80
  4. Step 4: Simplify right side
    334,144.86x = 53,317,284,726.56
  5. Step 5: Solve for x
    x = 53,317,284,726.56/334,144.86
  6. Step 6: Final answer
    x = 159,563.38

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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.