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Finding the Fourth Proportional to 782,840.81, 1,080,302.02 and 460,571.66

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Solution

The fourth proportional to 782,840.81, 1,080,302.02 and 460,571.66 is: 635,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,840.81 : 1,080,302.02 = 460,571.66 : x
  2. Step 2: Convert to fraction form
    782,840.81/1,080,302.02 = 460,571.66/x
  3. Step 3: Cross multiply
    782,840.81x = 1,080,302.02 × 460,571.66
  4. Step 4: Simplify right side
    782,840.81x = 497,556,494,652.75
  5. Step 5: Solve for x
    x = 497,556,494,652.75/782,840.81
  6. Step 6: Final answer
    x = 635,578.13

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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.