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Finding the Fourth Proportional to 401,221, 553,684.98 and 222,373

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Solution

The fourth proportional to 401,221, 553,684.98 and 222,373 is: 306,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,221 : 553,684.98 = 222,373 : x
  2. Step 2: Convert to fraction form
    401,221/553,684.98 = 222,373/x
  3. Step 3: Cross multiply
    401,221x = 553,684.98 × 222,373
  4. Step 4: Simplify right side
    401,221x = 123,124,590,057.54
  5. Step 5: Solve for x
    x = 123,124,590,057.54/401,221
  6. Step 6: Final answer
    x = 306,874.74

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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.