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Finding the Fourth Proportional to 701,774, 968,389.26 and 415,243.88

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Solution

The fourth proportional to 701,774, 968,389.26 and 415,243.88 is: 573,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,774 : 968,389.26 = 415,243.88 : x
  2. Step 2: Convert to fraction form
    701,774/968,389.26 = 415,243.88/x
  3. Step 3: Cross multiply
    701,774x = 968,389.26 × 415,243.88
  4. Step 4: Simplify right side
    701,774x = 402,117,713,672.73
  5. Step 5: Solve for x
    x = 402,117,713,672.73/701,774
  6. Step 6: Final answer
    x = 573,001.73

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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.