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Finding the Fourth Proportional to 448,426.63, 618,478.83 and 287,296.77

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Solution

The fourth proportional to 448,426.63, 618,478.83 and 287,296.77 is: 396,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,426.63 : 618,478.83 = 287,296.77 : x
  2. Step 2: Convert to fraction form
    448,426.63/618,478.83 = 287,296.77/x
  3. Step 3: Cross multiply
    448,426.63x = 618,478.83 × 287,296.77
  4. Step 4: Simplify right side
    448,426.63x = 177,686,970,172.38
  5. Step 5: Solve for x
    x = 177,686,970,172.38/448,426.63
  6. Step 6: Final answer
    x = 396,245.36

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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.