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Finding the Fourth Proportional to 761,743, 1,051,205.50 and 422,211.25

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Solution

The fourth proportional to 761,743, 1,051,205.50 and 422,211.25 is: 582,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,743 : 1,051,205.50 = 422,211.25 : x
  2. Step 2: Convert to fraction form
    761,743/1,051,205.50 = 422,211.25/x
  3. Step 3: Cross multiply
    761,743x = 1,051,205.50 × 422,211.25
  4. Step 4: Simplify right side
    761,743x = 443,830,788,161.88
  5. Step 5: Solve for x
    x = 443,830,788,161.88/761,743
  6. Step 6: Final answer
    x = 582,651.61

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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.