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Finding the Fourth Proportional to 374,940.36, 517,417.74 and 205,174.50

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Solution

The fourth proportional to 374,940.36, 517,417.74 and 205,174.50 is: 283,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,940.36 : 517,417.74 = 205,174.50 : x
  2. Step 2: Convert to fraction form
    374,940.36/517,417.74 = 205,174.50/x
  3. Step 3: Cross multiply
    374,940.36x = 517,417.74 × 205,174.50
  4. Step 4: Simplify right side
    374,940.36x = 106,160,926,095.63
  5. Step 5: Solve for x
    x = 106,160,926,095.63/374,940.36
  6. Step 6: Final answer
    x = 283,140.83

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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.