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Finding the Fourth Proportional to 413,741.44, 620,599.76 and 114,240.32

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Solution

The fourth proportional to 413,741.44, 620,599.76 and 114,240.32 is: 171,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741.44 : 620,599.76 = 114,240.32 : x
  2. Step 2: Convert to fraction form
    413,741.44/620,599.76 = 114,240.32/x
  3. Step 3: Cross multiply
    413,741.44x = 620,599.76 × 114,240.32
  4. Step 4: Simplify right side
    413,741.44x = 70,897,515,174.32
  5. Step 5: Solve for x
    x = 70,897,515,174.32/413,741.44
  6. Step 6: Final answer
    x = 171,357.06

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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.