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Finding the Fourth Proportional to 714,237.27, 985,493.47 and 412,256.31

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Solution

The fourth proportional to 714,237.27, 985,493.47 and 412,256.31 is: 568,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,237.27 : 985,493.47 = 412,256.31 : x
  2. Step 2: Convert to fraction form
    714,237.27/985,493.47 = 412,256.31/x
  3. Step 3: Cross multiply
    714,237.27x = 985,493.47 × 412,256.31
  4. Step 4: Simplify right side
    714,237.27x = 406,275,901,471.30
  5. Step 5: Solve for x
    x = 406,275,901,471.30/714,237.27
  6. Step 6: Final answer
    x = 568,824.84

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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.