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Finding the Fourth Proportional to 686,251.98, 947,065.50 and 380,322

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Solution

The fourth proportional to 686,251.98, 947,065.50 and 380,322 is: 524,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,251.98 : 947,065.50 = 380,322 : x
  2. Step 2: Convert to fraction form
    686,251.98/947,065.50 = 380,322/x
  3. Step 3: Cross multiply
    686,251.98x = 947,065.50 × 380,322
  4. Step 4: Simplify right side
    686,251.98x = 360,189,845,091
  5. Step 5: Solve for x
    x = 360,189,845,091/686,251.98
  6. Step 6: Final answer
    x = 524,865.29

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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.