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Finding the Fourth Proportional to 714,414.66, 985,983.24 and 412,608.66

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Solution

The fourth proportional to 714,414.66, 985,983.24 and 412,608.66 is: 569,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,414.66 : 985,983.24 = 412,608.66 : x
  2. Step 2: Convert to fraction form
    714,414.66/985,983.24 = 412,608.66/x
  3. Step 3: Cross multiply
    714,414.66x = 985,983.24 × 412,608.66
  4. Step 4: Simplify right side
    714,414.66x = 406,825,223,438.86
  5. Step 5: Solve for x
    x = 406,825,223,438.86/714,414.66
  6. Step 6: Final answer
    x = 569,452.51

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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.