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Finding the Fourth Proportional to 417,293.66, 625,736.36 and 290,994.41

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Solution

The fourth proportional to 417,293.66, 625,736.36 and 290,994.41 is: 436,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,293.66 : 625,736.36 = 290,994.41 : x
  2. Step 2: Convert to fraction form
    417,293.66/625,736.36 = 290,994.41/x
  3. Step 3: Cross multiply
    417,293.66x = 625,736.36 × 290,994.41
  4. Step 4: Simplify right side
    417,293.66x = 182,085,778,310.09
  5. Step 5: Solve for x
    x = 182,085,778,310.09/417,293.66
  6. Step 6: Final answer
    x = 436,349.26

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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.