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Finding the Fourth Proportional to 436,751.30, 654,905.40 and 199,891.10

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Solution

The fourth proportional to 436,751.30, 654,905.40 and 199,891.10 is: 299,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,751.30 : 654,905.40 = 199,891.10 : x
  2. Step 2: Convert to fraction form
    436,751.30/654,905.40 = 199,891.10/x
  3. Step 3: Cross multiply
    436,751.30x = 654,905.40 × 199,891.10
  4. Step 4: Simplify right side
    436,751.30x = 130,909,760,801.94
  5. Step 5: Solve for x
    x = 130,909,760,801.94/436,751.30
  6. Step 6: Final answer
    x = 299,735.25

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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.