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Finding the Fourth Proportional to 567,866, 851,943 and 212,881.04

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Solution

The fourth proportional to 567,866, 851,943 and 212,881.04 is: 319,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,866 : 851,943 = 212,881.04 : x
  2. Step 2: Convert to fraction form
    567,866/851,943 = 212,881.04/x
  3. Step 3: Cross multiply
    567,866x = 851,943 × 212,881.04
  4. Step 4: Simplify right side
    567,866x = 181,362,511,860.72
  5. Step 5: Solve for x
    x = 181,362,511,860.72/567,866
  6. Step 6: Final answer
    x = 319,375.54

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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.