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Finding the Fourth Proportional to 446,097.16, 668,795.82 and 221,299.48

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Solution

The fourth proportional to 446,097.16, 668,795.82 and 221,299.48 is: 331,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,097.16 : 668,795.82 = 221,299.48 : x
  2. Step 2: Convert to fraction form
    446,097.16/668,795.82 = 221,299.48/x
  3. Step 3: Cross multiply
    446,097.16x = 668,795.82 × 221,299.48
  4. Step 4: Simplify right side
    446,097.16x = 148,004,167,192.17
  5. Step 5: Solve for x
    x = 148,004,167,192.17/446,097.16
  6. Step 6: Final answer
    x = 331,775.63

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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.