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Finding the Fourth Proportional to 333,782.88, 501,048 and 221,682.06

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Solution

The fourth proportional to 333,782.88, 501,048 and 221,682.06 is: 332,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,782.88 : 501,048 = 221,682.06 : x
  2. Step 2: Convert to fraction form
    333,782.88/501,048 = 221,682.06/x
  3. Step 3: Cross multiply
    333,782.88x = 501,048 × 221,682.06
  4. Step 4: Simplify right side
    333,782.88x = 111,073,352,798.88
  5. Step 5: Solve for x
    x = 111,073,352,798.88/333,782.88
  6. Step 6: Final answer
    x = 332,771.27

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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.