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Finding the Fourth Proportional to 686,179.37, 946,929.77 and 380,260.80

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Solution

The fourth proportional to 686,179.37, 946,929.77 and 380,260.80 is: 524,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,179.37 : 946,929.77 = 380,260.80 : x
  2. Step 2: Convert to fraction form
    686,179.37/946,929.77 = 380,260.80/x
  3. Step 3: Cross multiply
    686,179.37x = 946,929.77 × 380,260.80
  4. Step 4: Simplify right side
    686,179.37x = 360,080,269,982.71
  5. Step 5: Solve for x
    x = 360,080,269,982.71/686,179.37
  6. Step 6: Final answer
    x = 524,761.14

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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.