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Finding the Fourth Proportional to 761,737.41, 1,051,197.77 and 422,205.66

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Solution

The fourth proportional to 761,737.41, 1,051,197.77 and 422,205.66 is: 582,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,737.41 : 1,051,197.77 = 422,205.66 : x
  2. Step 2: Convert to fraction form
    761,737.41/1,051,197.77 = 422,205.66/x
  3. Step 3: Cross multiply
    761,737.41x = 1,051,197.77 × 422,205.66
  4. Step 4: Simplify right side
    761,737.41x = 443,821,649,328.89
  5. Step 5: Solve for x
    x = 443,821,649,328.89/761,737.41
  6. Step 6: Final answer
    x = 582,643.89

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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.