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Finding the Fourth Proportional to 370,685, 511,546.38 and 200,919.80

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Solution

The fourth proportional to 370,685, 511,546.38 and 200,919.80 is: 277,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,685 : 511,546.38 = 200,919.80 : x
  2. Step 2: Convert to fraction form
    370,685/511,546.38 = 200,919.80/x
  3. Step 3: Cross multiply
    370,685x = 511,546.38 × 200,919.80
  4. Step 4: Simplify right side
    370,685x = 102,779,796,360.32
  5. Step 5: Solve for x
    x = 102,779,796,360.32/370,685
  6. Step 6: Final answer
    x = 277,269.91

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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.