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Finding the Fourth Proportional to 686,183.88, 946,935.98 and 380,265.30

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Solution

The fourth proportional to 686,183.88, 946,935.98 and 380,265.30 is: 524,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,183.88 : 946,935.98 = 380,265.30 : x
  2. Step 2: Convert to fraction form
    686,183.88/946,935.98 = 380,265.30/x
  3. Step 3: Cross multiply
    686,183.88x = 946,935.98 × 380,265.30
  4. Step 4: Simplify right side
    686,183.88x = 360,086,894,515.49
  5. Step 5: Solve for x
    x = 360,086,894,515.49/686,183.88
  6. Step 6: Final answer
    x = 524,767.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.