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Finding the Fourth Proportional to 470,730.88, 706,090.16 and 115,747.97

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Solution

The fourth proportional to 470,730.88, 706,090.16 and 115,747.97 is: 173,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.88 : 706,090.16 = 115,747.97 : x
  2. Step 2: Convert to fraction form
    470,730.88/706,090.16 = 115,747.97/x
  3. Step 3: Cross multiply
    470,730.88x = 706,090.16 × 115,747.97
  4. Step 4: Simplify right side
    470,730.88x = 81,728,503,387.65
  5. Step 5: Solve for x
    x = 81,728,503,387.65/470,730.88
  6. Step 6: Final answer
    x = 173,620.44

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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.