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Finding the Fourth Proportional to 371,747.38, 513,016.05 and 201,984.34

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Solution

The fourth proportional to 371,747.38, 513,016.05 and 201,984.34 is: 278,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,747.38 : 513,016.05 = 201,984.34 : x
  2. Step 2: Convert to fraction form
    371,747.38/513,016.05 = 201,984.34/x
  3. Step 3: Cross multiply
    371,747.38x = 513,016.05 × 201,984.34
  4. Step 4: Simplify right side
    371,747.38x = 103,621,208,268.66
  5. Step 5: Solve for x
    x = 103,621,208,268.66/371,747.38
  6. Step 6: Final answer
    x = 278,740.92

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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.