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Finding the Fourth Proportional to 647,186.82, 970,714.62 and 173,810.68

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Solution

The fourth proportional to 647,186.82, 970,714.62 and 173,810.68 is: 260,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,186.82 : 970,714.62 = 173,810.68 : x
  2. Step 2: Convert to fraction form
    647,186.82/970,714.62 = 173,810.68/x
  3. Step 3: Cross multiply
    647,186.82x = 970,714.62 × 173,810.68
  4. Step 4: Simplify right side
    647,186.82x = 168,720,568,188.14
  5. Step 5: Solve for x
    x = 168,720,568,188.14/647,186.82
  6. Step 6: Final answer
    x = 260,698.40

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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.