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Finding the Fourth Proportional to 366,468.71, 505,741.32 and 205,325.08

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Solution

The fourth proportional to 366,468.71, 505,741.32 and 205,325.08 is: 283,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,468.71 : 505,741.32 = 205,325.08 : x
  2. Step 2: Convert to fraction form
    366,468.71/505,741.32 = 205,325.08/x
  3. Step 3: Cross multiply
    366,468.71x = 505,741.32 × 205,325.08
  4. Step 4: Simplify right side
    366,468.71x = 103,841,375,723.95
  5. Step 5: Solve for x
    x = 103,841,375,723.95/366,468.71
  6. Step 6: Final answer
    x = 283,356.73

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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.