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Finding the Fourth Proportional to 414,175.66, 621,194.25 and 114,686.50

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Solution

The fourth proportional to 414,175.66, 621,194.25 and 114,686.50 is: 172,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,175.66 : 621,194.25 = 114,686.50 : x
  2. Step 2: Convert to fraction form
    414,175.66/621,194.25 = 114,686.50/x
  3. Step 3: Cross multiply
    414,175.66x = 621,194.25 × 114,686.50
  4. Step 4: Simplify right side
    414,175.66x = 71,242,594,352.63
  5. Step 5: Solve for x
    x = 71,242,594,352.63/414,175.66
  6. Step 6: Final answer
    x = 172,010.58

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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.