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Finding the Fourth Proportional to 374,934.42, 517,409.46 and 205,168.50

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Solution

The fourth proportional to 374,934.42, 517,409.46 and 205,168.50 is: 283,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,934.42 : 517,409.46 = 205,168.50 : x
  2. Step 2: Convert to fraction form
    374,934.42/517,409.46 = 205,168.50/x
  3. Step 3: Cross multiply
    374,934.42x = 517,409.46 × 205,168.50
  4. Step 4: Simplify right side
    374,934.42x = 106,156,122,794.01
  5. Step 5: Solve for x
    x = 106,156,122,794.01/374,934.42
  6. Step 6: Final answer
    x = 283,132.51

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