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Finding the Fourth Proportional to 223,536, 335,304.81 and 212,323.98

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Solution

The fourth proportional to 223,536, 335,304.81 and 212,323.98 is: 318,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536 : 335,304.81 = 212,323.98 : x
  2. Step 2: Convert to fraction form
    223,536/335,304.81 = 212,323.98/x
  3. Step 3: Cross multiply
    223,536x = 335,304.81 × 212,323.98
  4. Step 4: Simplify right side
    223,536x = 71,193,251,772.34
  5. Step 5: Solve for x
    x = 71,193,251,772.34/223,536
  6. Step 6: Final answer
    x = 318,486.74

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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.