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Finding the Fourth Proportional to 294,994.70, 407,092.56 and 160,858.70

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Solution

The fourth proportional to 294,994.70, 407,092.56 and 160,858.70 is: 221,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,994.70 : 407,092.56 = 160,858.70 : x
  2. Step 2: Convert to fraction form
    294,994.70/407,092.56 = 160,858.70/x
  3. Step 3: Cross multiply
    294,994.70x = 407,092.56 × 160,858.70
  4. Step 4: Simplify right side
    294,994.70x = 65,484,379,981.27
  5. Step 5: Solve for x
    x = 65,484,379,981.27/294,994.70
  6. Step 6: Final answer
    x = 221,984.94

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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.