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Finding the Fourth Proportional to 686,937.60, 948,019.82 and 381,111.17

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Solution

The fourth proportional to 686,937.60, 948,019.82 and 381,111.17 is: 525,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,937.60 : 948,019.82 = 381,111.17 : x
  2. Step 2: Convert to fraction form
    686,937.60/948,019.82 = 381,111.17/x
  3. Step 3: Cross multiply
    686,937.60x = 948,019.82 × 381,111.17
  4. Step 4: Simplify right side
    686,937.60x = 361,300,936,137.73
  5. Step 5: Solve for x
    x = 361,300,936,137.73/686,937.60
  6. Step 6: Final answer
    x = 525,958.89

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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.