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Finding the Fourth Proportional to 334,494, 501,741 and 112,878

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Solution

The fourth proportional to 334,494, 501,741 and 112,878 is: 169,317

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,494 : 501,741 = 112,878 : x
  2. Step 2: Convert to fraction form
    334,494/501,741 = 112,878/x
  3. Step 3: Cross multiply
    334,494x = 501,741 × 112,878
  4. Step 4: Simplify right side
    334,494x = 56,635,520,598
  5. Step 5: Solve for x
    x = 56,635,520,598/334,494
  6. Step 6: Final answer
    x = 169,317

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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.