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Finding the Fourth Proportional to 297,698.58, 410,824.58 and 161,731.40

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Solution

The fourth proportional to 297,698.58, 410,824.58 and 161,731.40 is: 223,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,698.58 : 410,824.58 = 161,731.40 : x
  2. Step 2: Convert to fraction form
    297,698.58/410,824.58 = 161,731.40/x
  3. Step 3: Cross multiply
    297,698.58x = 410,824.58 × 161,731.40
  4. Step 4: Simplify right side
    297,698.58x = 66,443,231,615.03
  5. Step 5: Solve for x
    x = 66,443,231,615.03/297,698.58
  6. Step 6: Final answer
    x = 223,189.62

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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.