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Finding the Fourth Proportional to 477,271.54, 658,647.19 and 259,494.86

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Solution

The fourth proportional to 477,271.54, 658,647.19 and 259,494.86 is: 358,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,271.54 : 658,647.19 = 259,494.86 : x
  2. Step 2: Convert to fraction form
    477,271.54/658,647.19 = 259,494.86/x
  3. Step 3: Cross multiply
    477,271.54x = 658,647.19 × 259,494.86
  4. Step 4: Simplify right side
    477,271.54x = 170,915,560,358.44
  5. Step 5: Solve for x
    x = 170,915,560,358.44/477,271.54
  6. Step 6: Final answer
    x = 358,109.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.