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Finding the Fourth Proportional to 462,241.44, 692,178.39 and 319,889.61

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Solution

The fourth proportional to 462,241.44, 692,178.39 and 319,889.61 is: 479,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,241.44 : 692,178.39 = 319,889.61 : x
  2. Step 2: Convert to fraction form
    462,241.44/692,178.39 = 319,889.61/x
  3. Step 3: Cross multiply
    462,241.44x = 692,178.39 × 319,889.61
  4. Step 4: Simplify right side
    462,241.44x = 221,420,675,227.53
  5. Step 5: Solve for x
    x = 221,420,675,227.53/462,241.44
  6. Step 6: Final answer
    x = 479,015.20

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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.