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Finding the Fourth Proportional to 706,422.24, 974,872.32 and 404,616

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Solution

The fourth proportional to 706,422.24, 974,872.32 and 404,616 is: 558,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,422.24 : 974,872.32 = 404,616 : x
  2. Step 2: Convert to fraction form
    706,422.24/974,872.32 = 404,616/x
  3. Step 3: Cross multiply
    706,422.24x = 974,872.32 × 404,616
  4. Step 4: Simplify right side
    706,422.24x = 394,448,938,629.12
  5. Step 5: Solve for x
    x = 394,448,938,629.12/706,422.24
  6. Step 6: Final answer
    x = 558,375.60

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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.