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Finding the Fourth Proportional to 299,034.89, 448,597.14 and 96,563.34

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Solution

The fourth proportional to 299,034.89, 448,597.14 and 96,563.34 is: 144,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,034.89 : 448,597.14 = 96,563.34 : x
  2. Step 2: Convert to fraction form
    299,034.89/448,597.14 = 96,563.34/x
  3. Step 3: Cross multiply
    299,034.89x = 448,597.14 × 96,563.34
  4. Step 4: Simplify right side
    299,034.89x = 43,318,037,790.74
  5. Step 5: Solve for x
    x = 43,318,037,790.74/299,034.89
  6. Step 6: Final answer
    x = 144,859.48

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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.