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Finding the Fourth Proportional to 591,915.24, 816,846.18 and 323,643.24

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Solution

The fourth proportional to 591,915.24, 816,846.18 and 323,643.24 is: 446,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,915.24 : 816,846.18 = 323,643.24 : x
  2. Step 2: Convert to fraction form
    591,915.24/816,846.18 = 323,643.24/x
  3. Step 3: Cross multiply
    591,915.24x = 816,846.18 × 323,643.24
  4. Step 4: Simplify right side
    591,915.24x = 264,366,744,276.82
  5. Step 5: Solve for x
    x = 264,366,744,276.82/591,915.24
  6. Step 6: Final answer
    x = 446,629.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.