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Finding the Fourth Proportional to 428,685.84, 643,002.84 and 191,964.96

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Solution

The fourth proportional to 428,685.84, 643,002.84 and 191,964.96 is: 287,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,685.84 : 643,002.84 = 191,964.96 : x
  2. Step 2: Convert to fraction form
    428,685.84/643,002.84 = 191,964.96/x
  3. Step 3: Cross multiply
    428,685.84x = 643,002.84 × 191,964.96
  4. Step 4: Simplify right side
    428,685.84x = 123,434,014,460.49
  5. Step 5: Solve for x
    x = 123,434,014,460.49/428,685.84
  6. Step 6: Final answer
    x = 287,935.83

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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.