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Finding the Fourth Proportional to 414,548.74, 621,753.55 and 115,059.74

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Solution

The fourth proportional to 414,548.74, 621,753.55 and 115,059.74 is: 172,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,548.74 : 621,753.55 = 115,059.74 : x
  2. Step 2: Convert to fraction form
    414,548.74/621,753.55 = 115,059.74/x
  3. Step 3: Cross multiply
    414,548.74x = 621,753.55 × 115,059.74
  4. Step 4: Simplify right side
    414,548.74x = 71,538,803,073.81
  5. Step 5: Solve for x
    x = 71,538,803,073.81/414,548.74
  6. Step 6: Final answer
    x = 172,570.31

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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.