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Finding the Fourth Proportional to 356,218.08, 491,626.44 and 205,316.16

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Solution

The fourth proportional to 356,218.08, 491,626.44 and 205,316.16 is: 283,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,218.08 : 491,626.44 = 205,316.16 : x
  2. Step 2: Convert to fraction form
    356,218.08/491,626.44 = 205,316.16/x
  3. Step 3: Cross multiply
    356,218.08x = 491,626.44 × 205,316.16
  4. Step 4: Simplify right side
    356,218.08x = 100,938,852,815.27
  5. Step 5: Solve for x
    x = 100,938,852,815.27/356,218.08
  6. Step 6: Final answer
    x = 283,362.52

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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.