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Finding the Fourth Proportional to 654,294.50, 902,941.02 and 399,786.02

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Solution

The fourth proportional to 654,294.50, 902,941.02 and 399,786.02 is: 551,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,294.50 : 902,941.02 = 399,786.02 : x
  2. Step 2: Convert to fraction form
    654,294.50/902,941.02 = 399,786.02/x
  3. Step 3: Cross multiply
    654,294.50x = 902,941.02 × 399,786.02
  4. Step 4: Simplify right side
    654,294.50x = 360,983,196,680.54
  5. Step 5: Solve for x
    x = 360,983,196,680.54/654,294.50
  6. Step 6: Final answer
    x = 551,713.63

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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.