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Finding the Fourth Proportional to 297,515.98, 410,469.42 and 190,148.86

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Solution

The fourth proportional to 297,515.98, 410,469.42 and 190,148.86 is: 262,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,515.98 : 410,469.42 = 190,148.86 : x
  2. Step 2: Convert to fraction form
    297,515.98/410,469.42 = 190,148.86/x
  3. Step 3: Cross multiply
    297,515.98x = 410,469.42 × 190,148.86
  4. Step 4: Simplify right side
    297,515.98x = 78,050,292,277.86
  5. Step 5: Solve for x
    x = 78,050,292,277.86/297,515.98
  6. Step 6: Final answer
    x = 262,339.83

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1.5x scale

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.