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Finding the Fourth Proportional to 417,832.96, 626,675.31 and 190,075.54

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Solution

The fourth proportional to 417,832.96, 626,675.31 and 190,075.54 is: 285,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,832.96 : 626,675.31 = 190,075.54 : x
  2. Step 2: Convert to fraction form
    417,832.96/626,675.31 = 190,075.54/x
  3. Step 3: Cross multiply
    417,832.96x = 626,675.31 × 190,075.54
  4. Step 4: Simplify right side
    417,832.96x = 119,115,647,952.92
  5. Step 5: Solve for x
    x = 119,115,647,952.92/417,832.96
  6. Step 6: Final answer
    x = 285,079.59

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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.