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Finding the Fourth Proportional to 357,621.57, 493,523.22 and 196,479.77

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Solution

The fourth proportional to 357,621.57, 493,523.22 and 196,479.77 is: 271,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,621.57 : 493,523.22 = 196,479.77 : x
  2. Step 2: Convert to fraction form
    357,621.57/493,523.22 = 196,479.77/x
  3. Step 3: Cross multiply
    357,621.57x = 493,523.22 × 196,479.77
  4. Step 4: Simplify right side
    357,621.57x = 96,967,326,287.64
  5. Step 5: Solve for x
    x = 96,967,326,287.64/357,621.57
  6. Step 6: Final answer
    x = 271,145.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.