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Finding the Fourth Proportional to 569,690.54, 854,272.68 and 209,771

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Solution

The fourth proportional to 569,690.54, 854,272.68 and 209,771 is: 314,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,690.54 : 854,272.68 = 209,771 : x
  2. Step 2: Convert to fraction form
    569,690.54/854,272.68 = 209,771/x
  3. Step 3: Cross multiply
    569,690.54x = 854,272.68 × 209,771
  4. Step 4: Simplify right side
    569,690.54x = 179,201,634,356.28
  5. Step 5: Solve for x
    x = 179,201,634,356.28/569,690.54
  6. Step 6: Final answer
    x = 314,559.61

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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.