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Finding the Fourth Proportional to 370,645.93, 511,486.81 and 200,876.41

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Solution

The fourth proportional to 370,645.93, 511,486.81 and 200,876.41 is: 277,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,645.93 : 511,486.81 = 200,876.41 : x
  2. Step 2: Convert to fraction form
    370,645.93/511,486.81 = 200,876.41/x
  3. Step 3: Cross multiply
    370,645.93x = 511,486.81 × 200,876.41
  4. Step 4: Simplify right side
    370,645.93x = 102,745,634,155.15
  5. Step 5: Solve for x
    x = 102,745,634,155.15/370,645.93
  6. Step 6: Final answer
    x = 277,206.97

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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.