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Finding the Fourth Proportional to 333,783.88, 501,049.50 and 221,683.06

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Solution

The fourth proportional to 333,783.88, 501,049.50 and 221,683.06 is: 332,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,783.88 : 501,049.50 = 221,683.06 : x
  2. Step 2: Convert to fraction form
    333,783.88/501,049.50 = 221,683.06/x
  3. Step 3: Cross multiply
    333,783.88x = 501,049.50 × 221,683.06
  4. Step 4: Simplify right side
    333,783.88x = 111,074,186,371.47
  5. Step 5: Solve for x
    x = 111,074,186,371.47/333,783.88
  6. Step 6: Final answer
    x = 332,772.77

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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.