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Finding the Fourth Proportional to 600,858, 828,955.08 and 397,005.84

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Solution

The fourth proportional to 600,858, 828,955.08 and 397,005.84 is: 547,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,858 : 828,955.08 = 397,005.84 : x
  2. Step 2: Convert to fraction form
    600,858/828,955.08 = 397,005.84/x
  3. Step 3: Cross multiply
    600,858x = 828,955.08 × 397,005.84
  4. Step 4: Simplify right side
    600,858x = 329,100,007,857.67
  5. Step 5: Solve for x
    x = 329,100,007,857.67/600,858
  6. Step 6: Final answer
    x = 547,716.78

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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.