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Finding the Fourth Proportional to 298,206.62, 446,967.99 and 148,111.46

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Solution

The fourth proportional to 298,206.62, 446,967.99 and 148,111.46 is: 221,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,206.62 : 446,967.99 = 148,111.46 : x
  2. Step 2: Convert to fraction form
    298,206.62/446,967.99 = 148,111.46/x
  3. Step 3: Cross multiply
    298,206.62x = 446,967.99 × 148,111.46
  4. Step 4: Simplify right side
    298,206.62x = 66,201,079,337.33
  5. Step 5: Solve for x
    x = 66,201,079,337.33/298,206.62
  6. Step 6: Final answer
    x = 221,997.35

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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.