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Finding the Fourth Proportional to 299,382.75, 448,980.69 and 99,656.46

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Solution

The fourth proportional to 299,382.75, 448,980.69 and 99,656.46 is: 149,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382.75 : 448,980.69 = 99,656.46 : x
  2. Step 2: Convert to fraction form
    299,382.75/448,980.69 = 99,656.46/x
  3. Step 3: Cross multiply
    299,382.75x = 448,980.69 × 99,656.46
  4. Step 4: Simplify right side
    299,382.75x = 44,743,826,173.76
  5. Step 5: Solve for x
    x = 44,743,826,173.76/299,382.75
  6. Step 6: Final answer
    x = 149,453.59

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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.