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Finding the Fourth Proportional to 496,384.40, 744,576.60 and 413,715.80

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Solution

The fourth proportional to 496,384.40, 744,576.60 and 413,715.80 is: 620,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,384.40 : 744,576.60 = 413,715.80 : x
  2. Step 2: Convert to fraction form
    496,384.40/744,576.60 = 413,715.80/x
  3. Step 3: Cross multiply
    496,384.40x = 744,576.60 × 413,715.80
  4. Step 4: Simplify right side
    496,384.40x = 308,043,103,730.28
  5. Step 5: Solve for x
    x = 308,043,103,730.28/496,384.40
  6. Step 6: Final answer
    x = 620,573.70

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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.