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Finding the Fourth Proportional to 413,435.58, 620,042.34 and 113,844.84

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Solution

The fourth proportional to 413,435.58, 620,042.34 and 113,844.84 is: 170,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,435.58 : 620,042.34 = 113,844.84 : x
  2. Step 2: Convert to fraction form
    413,435.58/620,042.34 = 113,844.84/x
  3. Step 3: Cross multiply
    413,435.58x = 620,042.34 × 113,844.84
  4. Step 4: Simplify right side
    413,435.58x = 70,588,620,990.53
  5. Step 5: Solve for x
    x = 70,588,620,990.53/413,435.58
  6. Step 6: Final answer
    x = 170,736.69

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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.