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Finding the Fourth Proportional to 414,116.99, 621,189.32 and 114,572.51

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Solution

The fourth proportional to 414,116.99, 621,189.32 and 114,572.51 is: 171,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,116.99 : 621,189.32 = 114,572.51 : x
  2. Step 2: Convert to fraction form
    414,116.99/621,189.32 = 114,572.51/x
  3. Step 3: Cross multiply
    414,116.99x = 621,189.32 × 114,572.51
  4. Step 4: Simplify right side
    414,116.99x = 71,171,220,557.70
  5. Step 5: Solve for x
    x = 71,171,220,557.70/414,116.99
  6. Step 6: Final answer
    x = 171,862.59

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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.