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Finding the Fourth Proportional to 686,109, 946,816.28 and 380,182.72

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Solution

The fourth proportional to 686,109, 946,816.28 and 380,182.72 is: 524,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,109 : 946,816.28 = 380,182.72 : x
  2. Step 2: Convert to fraction form
    686,109/946,816.28 = 380,182.72/x
  3. Step 3: Cross multiply
    686,109x = 946,816.28 × 380,182.72
  4. Step 4: Simplify right side
    686,109x = 359,963,188,670.68
  5. Step 5: Solve for x
    x = 359,963,188,670.68/686,109
  6. Step 6: Final answer
    x = 524,644.32

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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.