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Finding the Fourth Proportional to 613,698.84, 846,897.57 and 341,760.78

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Solution

The fourth proportional to 613,698.84, 846,897.57 and 341,760.78 is: 471,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,698.84 : 846,897.57 = 341,760.78 : x
  2. Step 2: Convert to fraction form
    613,698.84/846,897.57 = 341,760.78/x
  3. Step 3: Cross multiply
    613,698.84x = 846,897.57 × 341,760.78
  4. Step 4: Simplify right side
    613,698.84x = 289,436,374,103.31
  5. Step 5: Solve for x
    x = 289,436,374,103.31/613,698.84
  6. Step 6: Final answer
    x = 471,626.07

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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.