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Finding the Fourth Proportional to 391,714.80, 587,766.60 and 223,364.40

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Solution

The fourth proportional to 391,714.80, 587,766.60 and 223,364.40 is: 335,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,714.80 : 587,766.60 = 223,364.40 : x
  2. Step 2: Convert to fraction form
    391,714.80/587,766.60 = 223,364.40/x
  3. Step 3: Cross multiply
    391,714.80x = 587,766.60 × 223,364.40
  4. Step 4: Simplify right side
    391,714.80x = 131,286,133,949.04
  5. Step 5: Solve for x
    x = 131,286,133,949.04/391,714.80
  6. Step 6: Final answer
    x = 335,157.45

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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.