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Finding the Fourth Proportional to 362,853.06, 543,596.84 and 212,647.17

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Solution

The fourth proportional to 362,853.06, 543,596.84 and 212,647.17 is: 318,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,853.06 : 543,596.84 = 212,647.17 : x
  2. Step 2: Convert to fraction form
    362,853.06/543,596.84 = 212,647.17/x
  3. Step 3: Cross multiply
    362,853.06x = 543,596.84 × 212,647.17
  4. Step 4: Simplify right side
    362,853.06x = 115,594,328,583.71
  5. Step 5: Solve for x
    x = 115,594,328,583.71/362,853.06
  6. Step 6: Final answer
    x = 318,570.63

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Why These Related Problems?

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