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Finding the Fourth Proportional to 374,734.49, 517,120.61 and 213,641.42

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Solution

The fourth proportional to 374,734.49, 517,120.61 and 213,641.42 is: 294,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,734.49 : 517,120.61 = 213,641.42 : x
  2. Step 2: Convert to fraction form
    374,734.49/517,120.61 = 213,641.42/x
  3. Step 3: Cross multiply
    374,734.49x = 517,120.61 × 213,641.42
  4. Step 4: Simplify right side
    374,734.49x = 110,478,377,777.86
  5. Step 5: Solve for x
    x = 110,478,377,777.86/374,734.49
  6. Step 6: Final answer
    x = 294,817.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.