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Finding the Fourth Proportional to 701,766, 968,378.22 and 415,235.88

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Solution

The fourth proportional to 701,766, 968,378.22 and 415,235.88 is: 572,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,766 : 968,378.22 = 415,235.88 : x
  2. Step 2: Convert to fraction form
    701,766/968,378.22 = 415,235.88/x
  3. Step 3: Cross multiply
    701,766x = 968,378.22 × 415,235.88
  4. Step 4: Simplify right side
    701,766x = 402,105,382,354.53
  5. Step 5: Solve for x
    x = 402,105,382,354.53/701,766
  6. Step 6: Final answer
    x = 572,990.69

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