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Finding the Fourth Proportional to 407,835.44, 611,792.04 and 158,536.88

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Solution

The fourth proportional to 407,835.44, 611,792.04 and 158,536.88 is: 237,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,835.44 : 611,792.04 = 158,536.88 : x
  2. Step 2: Convert to fraction form
    407,835.44/611,792.04 = 158,536.88/x
  3. Step 3: Cross multiply
    407,835.44x = 611,792.04 × 158,536.88
  4. Step 4: Simplify right side
    407,835.44x = 96,991,601,230.44
  5. Step 5: Solve for x
    x = 96,991,601,230.44/407,835.44
  6. Step 6: Final answer
    x = 237,820.43

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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.