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Finding the Fourth Proportional to 401,222, 553,686.36 and 222,374

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Solution

The fourth proportional to 401,222, 553,686.36 and 222,374 is: 306,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,222 : 553,686.36 = 222,374 : x
  2. Step 2: Convert to fraction form
    401,222/553,686.36 = 222,374/x
  3. Step 3: Cross multiply
    401,222x = 553,686.36 × 222,374
  4. Step 4: Simplify right side
    401,222x = 123,125,450,618.64
  5. Step 5: Solve for x
    x = 123,125,450,618.64/401,222
  6. Step 6: Final answer
    x = 306,876.12

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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.