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Finding the Fourth Proportional to 299,199.20, 448,021.20 and 236,472.80

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Solution

The fourth proportional to 299,199.20, 448,021.20 and 236,472.80 is: 354,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199.20 : 448,021.20 = 236,472.80 : x
  2. Step 2: Convert to fraction form
    299,199.20/448,021.20 = 236,472.80/x
  3. Step 3: Cross multiply
    299,199.20x = 448,021.20 × 236,472.80
  4. Step 4: Simplify right side
    299,199.20x = 105,944,827,623.36
  5. Step 5: Solve for x
    x = 105,944,827,623.36/299,199.20
  6. Step 6: Final answer
    x = 354,094.62

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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.