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Finding the Fourth Proportional to 448,412.26, 618,458.99 and 287,282.30

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Solution

The fourth proportional to 448,412.26, 618,458.99 and 287,282.30 is: 396,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,412.26 : 618,458.99 = 287,282.30 : x
  2. Step 2: Convert to fraction form
    448,412.26/618,458.99 = 287,282.30/x
  3. Step 3: Cross multiply
    448,412.26x = 618,458.99 × 287,282.30
  4. Step 4: Simplify right side
    448,412.26x = 177,672,321,102.88
  5. Step 5: Solve for x
    x = 177,672,321,102.88/448,412.26
  6. Step 6: Final answer
    x = 396,225.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.