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Finding the Fourth Proportional to 291,523.20, 436,701.60 and 197,044.80

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Solution

The fourth proportional to 291,523.20, 436,701.60 and 197,044.80 is: 295,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,523.20 : 436,701.60 = 197,044.80 : x
  2. Step 2: Convert to fraction form
    291,523.20/436,701.60 = 197,044.80/x
  3. Step 3: Cross multiply
    291,523.20x = 436,701.60 × 197,044.80
  4. Step 4: Simplify right side
    291,523.20x = 86,049,779,431.68
  5. Step 5: Solve for x
    x = 86,049,779,431.68/291,523.20
  6. Step 6: Final answer
    x = 295,173.01

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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.