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Finding the Fourth Proportional to 431,751.84, 647,771.12 and 191,832.36

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Solution

The fourth proportional to 431,751.84, 647,771.12 and 191,832.36 is: 287,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,751.84 : 647,771.12 = 191,832.36 : x
  2. Step 2: Convert to fraction form
    431,751.84/647,771.12 = 191,832.36/x
  3. Step 3: Cross multiply
    431,751.84x = 647,771.12 × 191,832.36
  4. Step 4: Simplify right side
    431,751.84x = 124,263,462,689.44
  5. Step 5: Solve for x
    x = 124,263,462,689.44/431,751.84
  6. Step 6: Final answer
    x = 287,812.24

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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.