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Finding the Fourth Proportional to 414,637.74, 621,887.24 and 115,148.60

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Solution

The fourth proportional to 414,637.74, 621,887.24 and 115,148.60 is: 172,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,637.74 : 621,887.24 = 115,148.60 : x
  2. Step 2: Convert to fraction form
    414,637.74/621,887.24 = 115,148.60/x
  3. Step 3: Cross multiply
    414,637.74x = 621,887.24 × 115,148.60
  4. Step 4: Simplify right side
    414,637.74x = 71,609,441,358.68
  5. Step 5: Solve for x
    x = 71,609,441,358.68/414,637.74
  6. Step 6: Final answer
    x = 172,703.63

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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.