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Finding the Fourth Proportional to 323,473, 484,672.98 and 196,729.84

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Solution

The fourth proportional to 323,473, 484,672.98 and 196,729.84 is: 294,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,473 : 484,672.98 = 196,729.84 : x
  2. Step 2: Convert to fraction form
    323,473/484,672.98 = 196,729.84/x
  3. Step 3: Cross multiply
    323,473x = 484,672.98 × 196,729.84
  4. Step 4: Simplify right side
    323,473x = 95,349,637,807.72
  5. Step 5: Solve for x
    x = 95,349,637,807.72/323,473
  6. Step 6: Final answer
    x = 294,768.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.