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Finding the Fourth Proportional to 777,534.10, 1,073,002.03 and 433,391.84

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Solution

The fourth proportional to 777,534.10, 1,073,002.03 and 433,391.84 is: 598,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,534.10 : 1,073,002.03 = 433,391.84 : x
  2. Step 2: Convert to fraction form
    777,534.10/1,073,002.03 = 433,391.84/x
  3. Step 3: Cross multiply
    777,534.10x = 1,073,002.03 × 433,391.84
  4. Step 4: Simplify right side
    777,534.10x = 465,030,324,105.44
  5. Step 5: Solve for x
    x = 465,030,324,105.44/777,534.10
  6. Step 6: Final answer
    x = 598,083.51

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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.