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Finding the Fourth Proportional to 686,998.64, 948,113.16 and 381,105.20

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Solution

The fourth proportional to 686,998.64, 948,113.16 and 381,105.20 is: 525,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,998.64 : 948,113.16 = 381,105.20 : x
  2. Step 2: Convert to fraction form
    686,998.64/948,113.16 = 381,105.20/x
  3. Step 3: Cross multiply
    686,998.64x = 948,113.16 × 381,105.20
  4. Step 4: Simplify right side
    686,998.64x = 361,330,855,464.43
  5. Step 5: Solve for x
    x = 361,330,855,464.43/686,998.64
  6. Step 6: Final answer
    x = 525,955.71

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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.