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Finding the Fourth Proportional to 414,643.58, 621,968.84 and 115,147.48

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Solution

The fourth proportional to 414,643.58, 621,968.84 and 115,147.48 is: 172,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,643.58 : 621,968.84 = 115,147.48 : x
  2. Step 2: Convert to fraction form
    414,643.58/621,968.84 = 115,147.48/x
  3. Step 3: Cross multiply
    414,643.58x = 621,968.84 × 115,147.48
  4. Step 4: Simplify right side
    414,643.58x = 71,618,144,564.52
  5. Step 5: Solve for x
    x = 71,618,144,564.52/414,643.58
  6. Step 6: Final answer
    x = 172,722.18

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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.