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Finding the Fourth Proportional to 506,877.75, 760,021.38 and 222,556.95

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Solution

The fourth proportional to 506,877.75, 760,021.38 and 222,556.95 is: 333,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,877.75 : 760,021.38 = 222,556.95 : x
  2. Step 2: Convert to fraction form
    506,877.75/760,021.38 = 222,556.95/x
  3. Step 3: Cross multiply
    506,877.75x = 760,021.38 × 222,556.95
  4. Step 4: Simplify right side
    506,877.75x = 169,148,040,267.59
  5. Step 5: Solve for x
    x = 169,148,040,267.59/506,877.75
  6. Step 6: Final answer
    x = 333,705.79

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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.