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Finding the Fourth Proportional to 299,066.36, 448,644.42 and 96,594.84

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Solution

The fourth proportional to 299,066.36, 448,644.42 and 96,594.84 is: 144,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,066.36 : 448,644.42 = 96,594.84 : x
  2. Step 2: Convert to fraction form
    299,066.36/448,644.42 = 96,594.84/x
  3. Step 3: Cross multiply
    299,066.36x = 448,644.42 × 96,594.84
  4. Step 4: Simplify right side
    299,066.36x = 43,336,735,966.79
  5. Step 5: Solve for x
    x = 43,336,735,966.79/299,066.36
  6. Step 6: Final answer
    x = 144,906.76

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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.