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Finding the Fourth Proportional to 436,518.76, 654,556.66 and 199,658.48

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Solution

The fourth proportional to 436,518.76, 654,556.66 and 199,658.48 is: 299,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,518.76 : 654,556.66 = 199,658.48 : x
  2. Step 2: Convert to fraction form
    436,518.76/654,556.66 = 199,658.48/x
  3. Step 3: Cross multiply
    436,518.76x = 654,556.66 × 199,658.48
  4. Step 4: Simplify right side
    436,518.76x = 130,687,787,809.48
  5. Step 5: Solve for x
    x = 130,687,787,809.48/436,518.76
  6. Step 6: Final answer
    x = 299,386.42

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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.