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Finding the Fourth Proportional to 398,181.42, 596,941.52 and 158,147.24

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Solution

The fourth proportional to 398,181.42, 596,941.52 and 158,147.24 is: 237,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,181.42 : 596,941.52 = 158,147.24 : x
  2. Step 2: Convert to fraction form
    398,181.42/596,941.52 = 158,147.24/x
  3. Step 3: Cross multiply
    398,181.42x = 596,941.52 × 158,147.24
  4. Step 4: Simplify right side
    398,181.42x = 94,404,651,388.33
  5. Step 5: Solve for x
    x = 94,404,651,388.33/398,181.42
  6. Step 6: Final answer
    x = 237,089.54

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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.