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Finding the Fourth Proportional to 423,998.70, 585,116.46 and 242,709.75

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Solution

The fourth proportional to 423,998.70, 585,116.46 and 242,709.75 is: 334,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,998.70 : 585,116.46 = 242,709.75 : x
  2. Step 2: Convert to fraction form
    423,998.70/585,116.46 = 242,709.75/x
  3. Step 3: Cross multiply
    423,998.70x = 585,116.46 × 242,709.75
  4. Step 4: Simplify right side
    423,998.70x = 142,013,469,727.49
  5. Step 5: Solve for x
    x = 142,013,469,727.49/423,998.70
  6. Step 6: Final answer
    x = 334,938.46

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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.