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Finding the Fourth Proportional to 417,809.13, 576,578.96 and 245,734.35

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Solution

The fourth proportional to 417,809.13, 576,578.96 and 245,734.35 is: 339,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,809.13 : 576,578.96 = 245,734.35 : x
  2. Step 2: Convert to fraction form
    417,809.13/576,578.96 = 245,734.35/x
  3. Step 3: Cross multiply
    417,809.13x = 576,578.96 × 245,734.35
  4. Step 4: Simplify right side
    417,809.13x = 141,685,253,377.00
  5. Step 5: Solve for x
    x = 141,685,253,377.00/417,809.13
  6. Step 6: Final answer
    x = 339,114.78

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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.