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Finding the Fourth Proportional to 612,998.50, 919,578.12 and 202,531.48

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Solution

The fourth proportional to 612,998.50, 919,578.12 and 202,531.48 is: 303,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,998.50 : 919,578.12 = 202,531.48 : x
  2. Step 2: Convert to fraction form
    612,998.50/919,578.12 = 202,531.48/x
  3. Step 3: Cross multiply
    612,998.50x = 919,578.12 × 202,531.48
  4. Step 4: Simplify right side
    612,998.50x = 186,243,517,619.22
  5. Step 5: Solve for x
    x = 186,243,517,619.22/612,998.50
  6. Step 6: Final answer
    x = 303,823.77

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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.