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Finding the Fourth Proportional to 297,598.22, 410,845.48 and 229,465.88

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Solution

The fourth proportional to 297,598.22, 410,845.48 and 229,465.88 is: 316,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,598.22 : 410,845.48 = 229,465.88 : x
  2. Step 2: Convert to fraction form
    297,598.22/410,845.48 = 229,465.88/x
  3. Step 3: Cross multiply
    297,598.22x = 410,845.48 × 229,465.88
  4. Step 4: Simplify right side
    297,598.22x = 94,275,019,612.22
  5. Step 5: Solve for x
    x = 94,275,019,612.22/297,598.22
  6. Step 6: Final answer
    x = 316,786.23

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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.