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Finding the Fourth Proportional to 374,919.40, 517,381.86 and 205,150.12

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Solution

The fourth proportional to 374,919.40, 517,381.86 and 205,150.12 is: 283,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,919.40 : 517,381.86 = 205,150.12 : x
  2. Step 2: Convert to fraction form
    374,919.40/517,381.86 = 205,150.12/x
  3. Step 3: Cross multiply
    374,919.40x = 517,381.86 × 205,150.12
  4. Step 4: Simplify right side
    374,919.40x = 106,140,950,664.82
  5. Step 5: Solve for x
    x = 106,140,950,664.82/374,919.40
  6. Step 6: Final answer
    x = 283,103.38

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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.