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Finding the Fourth Proportional to 304,847.94, 420,694.38 and 175,784.16

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Solution

The fourth proportional to 304,847.94, 420,694.38 and 175,784.16 is: 242,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,847.94 : 420,694.38 = 175,784.16 : x
  2. Step 2: Convert to fraction form
    304,847.94/420,694.38 = 175,784.16/x
  3. Step 3: Cross multiply
    304,847.94x = 420,694.38 × 175,784.16
  4. Step 4: Simplify right side
    304,847.94x = 73,951,408,205.02
  5. Step 5: Solve for x
    x = 73,951,408,205.02/304,847.94
  6. Step 6: Final answer
    x = 242,584.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.