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Finding the Fourth Proportional to 559,275, 839,022.15 and 222,252.83

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Solution

The fourth proportional to 559,275, 839,022.15 and 222,252.83 is: 333,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,275 : 839,022.15 = 222,252.83 : x
  2. Step 2: Convert to fraction form
    559,275/839,022.15 = 222,252.83/x
  3. Step 3: Cross multiply
    559,275x = 839,022.15 × 222,252.83
  4. Step 4: Simplify right side
    559,275x = 186,475,047,270.19
  5. Step 5: Solve for x
    x = 186,475,047,270.19/559,275
  6. Step 6: Final answer
    x = 333,422.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.