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Finding the Fourth Proportional to 398,054.56, 548,924.16 and 337,790.56

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Solution

The fourth proportional to 398,054.56, 548,924.16 and 337,790.56 is: 465,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,054.56 : 548,924.16 = 337,790.56 : x
  2. Step 2: Convert to fraction form
    398,054.56/548,924.16 = 337,790.56/x
  3. Step 3: Cross multiply
    398,054.56x = 548,924.16 × 337,790.56
  4. Step 4: Simplify right side
    398,054.56x = 185,421,399,403.93
  5. Step 5: Solve for x
    x = 185,421,399,403.93/398,054.56
  6. Step 6: Final answer
    x = 465,819.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.