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Finding the Fourth Proportional to 706,272.31, 974,810.57 and 464,578.73

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Solution

The fourth proportional to 706,272.31, 974,810.57 and 464,578.73 is: 641,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,272.31 : 974,810.57 = 464,578.73 : x
  2. Step 2: Convert to fraction form
    706,272.31/974,810.57 = 464,578.73/x
  3. Step 3: Cross multiply
    706,272.31x = 974,810.57 × 464,578.73
  4. Step 4: Simplify right side
    706,272.31x = 452,876,256,601.18
  5. Step 5: Solve for x
    x = 452,876,256,601.18/706,272.31
  6. Step 6: Final answer
    x = 641,220.46

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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.