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Finding the Fourth Proportional to 686,231.16, 946,772.14 and 414,195.70

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Solution

The fourth proportional to 686,231.16, 946,772.14 and 414,195.70 is: 571,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,231.16 : 946,772.14 = 414,195.70 : x
  2. Step 2: Convert to fraction form
    686,231.16/946,772.14 = 414,195.70/x
  3. Step 3: Cross multiply
    686,231.16x = 946,772.14 × 414,195.70
  4. Step 4: Simplify right side
    686,231.16x = 392,148,949,267.80
  5. Step 5: Solve for x
    x = 392,148,949,267.80/686,231.16
  6. Step 6: Final answer
    x = 571,453.14

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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.