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Finding the Fourth Proportional to 370,912.86, 511,805.88 and 207,568.58

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Solution

The fourth proportional to 370,912.86, 511,805.88 and 207,568.58 is: 286,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,912.86 : 511,805.88 = 207,568.58 : x
  2. Step 2: Convert to fraction form
    370,912.86/511,805.88 = 207,568.58/x
  3. Step 3: Cross multiply
    370,912.86x = 511,805.88 × 207,568.58
  4. Step 4: Simplify right side
    370,912.86x = 106,234,817,188.22
  5. Step 5: Solve for x
    x = 106,234,817,188.22/370,912.86
  6. Step 6: Final answer
    x = 286,414.49

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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.