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Finding the Fourth Proportional to 686,104.56, 946,845.06 and 380,152.32

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Solution

The fourth proportional to 686,104.56, 946,845.06 and 380,152.32 is: 524,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,104.56 : 946,845.06 = 380,152.32 : x
  2. Step 2: Convert to fraction form
    686,104.56/946,845.06 = 380,152.32/x
  3. Step 3: Cross multiply
    686,104.56x = 946,845.06 × 380,152.32
  4. Step 4: Simplify right side
    686,104.56x = 359,945,341,505.31
  5. Step 5: Solve for x
    x = 359,945,341,505.31/686,104.56
  6. Step 6: Final answer
    x = 524,621.71

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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.