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Finding the Fourth Proportional to 333,902.61, 500,912.24 and 146,909.25

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Solution

The fourth proportional to 333,902.61, 500,912.24 and 146,909.25 is: 220,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,902.61 : 500,912.24 = 146,909.25 : x
  2. Step 2: Convert to fraction form
    333,902.61/500,912.24 = 146,909.25/x
  3. Step 3: Cross multiply
    333,902.61x = 500,912.24 × 146,909.25
  4. Step 4: Simplify right side
    333,902.61x = 73,588,640,759.67
  5. Step 5: Solve for x
    x = 73,588,640,759.67/333,902.61
  6. Step 6: Final answer
    x = 220,389.53

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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.