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Finding the Fourth Proportional to 414,606.59, 621,954.32 and 115,088.43

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Solution

The fourth proportional to 414,606.59, 621,954.32 and 115,088.43 is: 172,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,606.59 : 621,954.32 = 115,088.43 : x
  2. Step 2: Convert to fraction form
    414,606.59/621,954.32 = 115,088.43/x
  3. Step 3: Cross multiply
    414,606.59x = 621,954.32 × 115,088.43
  4. Step 4: Simplify right side
    414,606.59x = 71,579,745,645.08
  5. Step 5: Solve for x
    x = 71,579,745,645.08/414,606.59
  6. Step 6: Final answer
    x = 172,644.98

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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.