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Finding the Fourth Proportional to 273,577.50, 410,368.07 and 86,589

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Solution

The fourth proportional to 273,577.50, 410,368.07 and 86,589 is: 129,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,577.50 : 410,368.07 = 86,589 : x
  2. Step 2: Convert to fraction form
    273,577.50/410,368.07 = 86,589/x
  3. Step 3: Cross multiply
    273,577.50x = 410,368.07 × 86,589
  4. Step 4: Simplify right side
    273,577.50x = 35,533,361,029.70
  5. Step 5: Solve for x
    x = 35,533,361,029.70/273,577.50
  6. Step 6: Final answer
    x = 129,884.08

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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.