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Finding the Fourth Proportional to 567,882, 851,573.52 and 212,646.83

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Solution

The fourth proportional to 567,882, 851,573.52 and 212,646.83 is: 318,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,882 : 851,573.52 = 212,646.83 : x
  2. Step 2: Convert to fraction form
    567,882/851,573.52 = 212,646.83/x
  3. Step 3: Cross multiply
    567,882x = 851,573.52 × 212,646.83
  4. Step 4: Simplify right side
    567,882x = 181,084,405,282.07
  5. Step 5: Solve for x
    x = 181,084,405,282.07/567,882
  6. Step 6: Final answer
    x = 318,876.82

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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.