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Finding the Fourth Proportional to 362,418.47, 543,412.32 and 137,795.34

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Solution

The fourth proportional to 362,418.47, 543,412.32 and 137,795.34 is: 206,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,418.47 : 543,412.32 = 137,795.34 : x
  2. Step 2: Convert to fraction form
    362,418.47/543,412.32 = 137,795.34/x
  3. Step 3: Cross multiply
    362,418.47x = 543,412.32 × 137,795.34
  4. Step 4: Simplify right side
    362,418.47x = 74,879,685,394.59
  5. Step 5: Solve for x
    x = 74,879,685,394.59/362,418.47
  6. Step 6: Final answer
    x = 206,611.12

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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.