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Finding the Fourth Proportional to 370,644.93, 511,485.44 and 200,875.41

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Solution

The fourth proportional to 370,644.93, 511,485.44 and 200,875.41 is: 277,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,644.93 : 511,485.44 = 200,875.41 : x
  2. Step 2: Convert to fraction form
    370,644.93/511,485.44 = 200,875.41/x
  3. Step 3: Cross multiply
    370,644.93x = 511,485.44 × 200,875.41
  4. Step 4: Simplify right side
    370,644.93x = 102,744,846,464.65
  5. Step 5: Solve for x
    x = 102,744,846,464.65/370,644.93
  6. Step 6: Final answer
    x = 277,205.59

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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.