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Finding the Fourth Proportional to 433,598.91, 650,174.27 and 190,340.43

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Solution

The fourth proportional to 433,598.91, 650,174.27 and 190,340.43 is: 285,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,598.91 : 650,174.27 = 190,340.43 : x
  2. Step 2: Convert to fraction form
    433,598.91/650,174.27 = 190,340.43/x
  3. Step 3: Cross multiply
    433,598.91x = 650,174.27 × 190,340.43
  4. Step 4: Simplify right side
    433,598.91x = 123,754,450,126.74
  5. Step 5: Solve for x
    x = 123,754,450,126.74/433,598.91
  6. Step 6: Final answer
    x = 285,412.27

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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.