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Finding the Fourth Proportional to 299,323.64, 448,984.20 and 74,683.82

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Solution

The fourth proportional to 299,323.64, 448,984.20 and 74,683.82 is: 112,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.64 : 448,984.20 = 74,683.82 : x
  2. Step 2: Convert to fraction form
    299,323.64/448,984.20 = 74,683.82/x
  3. Step 3: Cross multiply
    299,323.64x = 448,984.20 × 74,683.82
  4. Step 4: Simplify right side
    299,323.64x = 33,531,855,175.64
  5. Step 5: Solve for x
    x = 33,531,855,175.64/299,323.64
  6. Step 6: Final answer
    x = 112,025.42

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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.