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Finding the Fourth Proportional to 371,813.44, 513,103.26 and 202,047.16

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Solution

The fourth proportional to 371,813.44, 513,103.26 and 202,047.16 is: 278,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,813.44 : 513,103.26 = 202,047.16 : x
  2. Step 2: Convert to fraction form
    371,813.44/513,103.26 = 202,047.16/x
  3. Step 3: Cross multiply
    371,813.44x = 513,103.26 × 202,047.16
  4. Step 4: Simplify right side
    371,813.44x = 103,671,056,469.74
  5. Step 5: Solve for x
    x = 103,671,056,469.74/371,813.44
  6. Step 6: Final answer
    x = 278,825.47

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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.