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Finding the Fourth Proportional to 431,352.80, 647,029.20 and 305,381.60

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Solution

The fourth proportional to 431,352.80, 647,029.20 and 305,381.60 is: 458,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,352.80 : 647,029.20 = 305,381.60 : x
  2. Step 2: Convert to fraction form
    431,352.80/647,029.20 = 305,381.60/x
  3. Step 3: Cross multiply
    431,352.80x = 647,029.20 × 305,381.60
  4. Step 4: Simplify right side
    431,352.80x = 197,590,812,342.72
  5. Step 5: Solve for x
    x = 197,590,812,342.72/431,352.80
  6. Step 6: Final answer
    x = 458,072.40

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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.