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Finding the Fourth Proportional to 298,185.33, 410,928.87 and 213,154.77

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Solution

The fourth proportional to 298,185.33, 410,928.87 and 213,154.77 is: 293,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,185.33 : 410,928.87 = 213,154.77 : x
  2. Step 2: Convert to fraction form
    298,185.33/410,928.87 = 213,154.77/x
  3. Step 3: Cross multiply
    298,185.33x = 410,928.87 × 213,154.77
  4. Step 4: Simplify right side
    298,185.33x = 87,591,448,771.21
  5. Step 5: Solve for x
    x = 87,591,448,771.21/298,185.33
  6. Step 6: Final answer
    x = 293,748.35

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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.