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Finding the Fourth Proportional to 285,296.84, 393,711.54 and 157,980.68

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Solution

The fourth proportional to 285,296.84, 393,711.54 and 157,980.68 is: 218,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,296.84 : 393,711.54 = 157,980.68 : x
  2. Step 2: Convert to fraction form
    285,296.84/393,711.54 = 157,980.68/x
  3. Step 3: Cross multiply
    285,296.84x = 393,711.54 × 157,980.68
  4. Step 4: Simplify right side
    285,296.84x = 62,198,816,813.05
  5. Step 5: Solve for x
    x = 62,198,816,813.05/285,296.84
  6. Step 6: Final answer
    x = 218,014.39

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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.