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Finding the Fourth Proportional to 259,644.40, 389,437.80 and 212,815.60

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Solution

The fourth proportional to 259,644.40, 389,437.80 and 212,815.60 is: 319,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,644.40 : 389,437.80 = 212,815.60 : x
  2. Step 2: Convert to fraction form
    259,644.40/389,437.80 = 212,815.60/x
  3. Step 3: Cross multiply
    259,644.40x = 389,437.80 × 212,815.60
  4. Step 4: Simplify right side
    259,644.40x = 82,878,439,069.68
  5. Step 5: Solve for x
    x = 82,878,439,069.68/259,644.40
  6. Step 6: Final answer
    x = 319,199.79

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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.