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Finding the Fourth Proportional to 382,285.52, 527,543.37 and 210,203.82

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Solution

The fourth proportional to 382,285.52, 527,543.37 and 210,203.82 is: 290,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,285.52 : 527,543.37 = 210,203.82 : x
  2. Step 2: Convert to fraction form
    382,285.52/527,543.37 = 210,203.82/x
  3. Step 3: Cross multiply
    382,285.52x = 527,543.37 × 210,203.82
  4. Step 4: Simplify right side
    382,285.52x = 110,891,631,589.67
  5. Step 5: Solve for x
    x = 110,891,631,589.67/382,285.52
  6. Step 6: Final answer
    x = 290,075.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.