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Finding the Fourth Proportional to 497,376.42, 746,147.30 and 197,859.88

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Solution

The fourth proportional to 497,376.42, 746,147.30 and 197,859.88 is: 296,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,376.42 : 746,147.30 = 197,859.88 : x
  2. Step 2: Convert to fraction form
    497,376.42/746,147.30 = 197,859.88/x
  3. Step 3: Cross multiply
    497,376.42x = 746,147.30 × 197,859.88
  4. Step 4: Simplify right side
    497,376.42x = 147,632,615,240.32
  5. Step 5: Solve for x
    x = 147,632,615,240.32/497,376.42
  6. Step 6: Final answer
    x = 296,822.71

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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.