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Finding the Fourth Proportional to 714,086.20, 985,438.87 and 408,169.12

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Solution

The fourth proportional to 714,086.20, 985,438.87 and 408,169.12 is: 563,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,086.20 : 985,438.87 = 408,169.12 : x
  2. Step 2: Convert to fraction form
    714,086.20/985,438.87 = 408,169.12/x
  3. Step 3: Cross multiply
    714,086.20x = 985,438.87 × 408,169.12
  4. Step 4: Simplify right side
    714,086.20x = 402,225,716,381.69
  5. Step 5: Solve for x
    x = 402,225,716,381.69/714,086.20
  6. Step 6: Final answer
    x = 563,273.34

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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.