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Finding the Fourth Proportional to 229,814.40, 344,721.60 and 199,401.60

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Solution

The fourth proportional to 229,814.40, 344,721.60 and 199,401.60 is: 299,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814.40 : 344,721.60 = 199,401.60 : x
  2. Step 2: Convert to fraction form
    229,814.40/344,721.60 = 199,401.60/x
  3. Step 3: Cross multiply
    229,814.40x = 344,721.60 × 199,401.60
  4. Step 4: Simplify right side
    229,814.40x = 68,738,038,594.56
  5. Step 5: Solve for x
    x = 68,738,038,594.56/229,814.40
  6. Step 6: Final answer
    x = 299,102.40

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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.