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Finding the Fourth Proportional to 497,327.84, 746,336.28 and 197,777.72

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Solution

The fourth proportional to 497,327.84, 746,336.28 and 197,777.72 is: 296,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,327.84 : 746,336.28 = 197,777.72 : x
  2. Step 2: Convert to fraction form
    497,327.84/746,336.28 = 197,777.72/x
  3. Step 3: Cross multiply
    497,327.84x = 746,336.28 × 197,777.72
  4. Step 4: Simplify right side
    497,327.84x = 147,608,687,811.68
  5. Step 5: Solve for x
    x = 147,608,687,811.68/497,327.84
  6. Step 6: Final answer
    x = 296,803.59

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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.