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Finding the Fourth Proportional to 523,672.83, 784,950.98 and 298,548.52

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Solution

The fourth proportional to 523,672.83, 784,950.98 and 298,548.52 is: 447,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,672.83 : 784,950.98 = 298,548.52 : x
  2. Step 2: Convert to fraction form
    523,672.83/784,950.98 = 298,548.52/x
  3. Step 3: Cross multiply
    523,672.83x = 784,950.98 × 298,548.52
  4. Step 4: Simplify right side
    523,672.83x = 234,345,949,896.43
  5. Step 5: Solve for x
    x = 234,345,949,896.43/523,672.83
  6. Step 6: Final answer
    x = 447,504.50

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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.