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Finding the Fourth Proportional to 686,163.35, 946,941.84 and 380,273.13

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Solution

The fourth proportional to 686,163.35, 946,941.84 and 380,273.13 is: 524,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,163.35 : 946,941.84 = 380,273.13 : x
  2. Step 2: Convert to fraction form
    686,163.35/946,941.84 = 380,273.13/x
  3. Step 3: Cross multiply
    686,163.35x = 946,941.84 × 380,273.13
  4. Step 4: Simplify right side
    686,163.35x = 360,096,537,424.76
  5. Step 5: Solve for x
    x = 360,096,537,424.76/686,163.35
  6. Step 6: Final answer
    x = 524,797.10

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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.