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Finding the Fourth Proportional to 507,708.52, 759,846.24 and 494,046.34

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Solution

The fourth proportional to 507,708.52, 759,846.24 and 494,046.34 is: 739,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,708.52 : 759,846.24 = 494,046.34 : x
  2. Step 2: Convert to fraction form
    507,708.52/759,846.24 = 494,046.34/x
  3. Step 3: Cross multiply
    507,708.52x = 759,846.24 × 494,046.34
  4. Step 4: Simplify right side
    507,708.52x = 375,399,253,834.76
  5. Step 5: Solve for x
    x = 375,399,253,834.76/507,708.52
  6. Step 6: Final answer
    x = 739,399.16

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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.