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Finding the Fourth Proportional to 431,052.94, 646,579.46 and 131,535.09

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Solution

The fourth proportional to 431,052.94, 646,579.46 and 131,535.09 is: 197,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,052.94 : 646,579.46 = 131,535.09 : x
  2. Step 2: Convert to fraction form
    431,052.94/646,579.46 = 131,535.09/x
  3. Step 3: Cross multiply
    431,052.94x = 646,579.46 × 131,535.09
  4. Step 4: Simplify right side
    431,052.94x = 85,047,887,792.09
  5. Step 5: Solve for x
    x = 85,047,887,792.09/431,052.94
  6. Step 6: Final answer
    x = 197,302.65

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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.