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Finding the Fourth Proportional to 683,714.85, 1,025,573.04 and 178,275.41

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Solution

The fourth proportional to 683,714.85, 1,025,573.04 and 178,275.41 is: 267,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,714.85 : 1,025,573.04 = 178,275.41 : x
  2. Step 2: Convert to fraction form
    683,714.85/1,025,573.04 = 178,275.41/x
  3. Step 3: Cross multiply
    683,714.85x = 1,025,573.04 × 178,275.41
  4. Step 4: Simplify right side
    683,714.85x = 182,834,449,063.08
  5. Step 5: Solve for x
    x = 182,834,449,063.08/683,714.85
  6. Step 6: Final answer
    x = 267,413.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.