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Finding the Fourth Proportional to 496,741.80, 744,694.74 and 216,047.64

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Solution

The fourth proportional to 496,741.80, 744,694.74 and 216,047.64 is: 323,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,741.80 : 744,694.74 = 216,047.64 : x
  2. Step 2: Convert to fraction form
    496,741.80/744,694.74 = 216,047.64/x
  3. Step 3: Cross multiply
    496,741.80x = 744,694.74 × 216,047.64
  4. Step 4: Simplify right side
    496,741.80x = 160,889,541,097.41
  5. Step 5: Solve for x
    x = 160,889,541,097.41/496,741.80
  6. Step 6: Final answer
    x = 323,889.68

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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.