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Finding the Fourth Proportional to 448,443.88, 618,502.64 and 287,314.02

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Solution

The fourth proportional to 448,443.88, 618,502.64 and 287,314.02 is: 396,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,443.88 : 618,502.64 = 287,314.02 : x
  2. Step 2: Convert to fraction form
    448,443.88/618,502.64 = 287,314.02/x
  3. Step 3: Cross multiply
    448,443.88x = 618,502.64 × 287,314.02
  4. Step 4: Simplify right side
    448,443.88x = 177,704,478,442.44
  5. Step 5: Solve for x
    x = 177,704,478,442.44/448,443.88
  6. Step 6: Final answer
    x = 396,269.16

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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.