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Finding the Fourth Proportional to 412,030.56, 618,223.43 and 222,453.28

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Solution

The fourth proportional to 412,030.56, 618,223.43 and 222,453.28 is: 333,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,030.56 : 618,223.43 = 222,453.28 : x
  2. Step 2: Convert to fraction form
    412,030.56/618,223.43 = 222,453.28/x
  3. Step 3: Cross multiply
    412,030.56x = 618,223.43 × 222,453.28
  4. Step 4: Simplify right side
    412,030.56x = 137,525,829,776.35
  5. Step 5: Solve for x
    x = 137,525,829,776.35/412,030.56
  6. Step 6: Final answer
    x = 333,775.80

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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.