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Finding the Fourth Proportional to 403,823.82, 557,309.34 and 222,572.64

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Solution

The fourth proportional to 403,823.82, 557,309.34 and 222,572.64 is: 307,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,823.82 : 557,309.34 = 222,572.64 : x
  2. Step 2: Convert to fraction form
    403,823.82/557,309.34 = 222,572.64/x
  3. Step 3: Cross multiply
    403,823.82x = 557,309.34 × 222,572.64
  4. Step 4: Simplify right side
    403,823.82x = 124,041,811,100.46
  5. Step 5: Solve for x
    x = 124,041,811,100.46/403,823.82
  6. Step 6: Final answer
    x = 307,168.14

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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.