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Finding the Fourth Proportional to 333,427.84, 500,193.60 and 111,760

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Solution

The fourth proportional to 333,427.84, 500,193.60 and 111,760 is: 167,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,427.84 : 500,193.60 = 111,760 : x
  2. Step 2: Convert to fraction form
    333,427.84/500,193.60 = 111,760/x
  3. Step 3: Cross multiply
    333,427.84x = 500,193.60 × 111,760
  4. Step 4: Simplify right side
    333,427.84x = 55,901,636,736
  5. Step 5: Solve for x
    x = 55,901,636,736/333,427.84
  6. Step 6: Final answer
    x = 167,657.38

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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.