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Finding the Fourth Proportional to 569,620.16, 854,515.19 and 209,763.34

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Solution

The fourth proportional to 569,620.16, 854,515.19 and 209,763.34 is: 314,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,620.16 : 854,515.19 = 209,763.34 : x
  2. Step 2: Convert to fraction form
    569,620.16/854,515.19 = 209,763.34/x
  3. Step 3: Cross multiply
    569,620.16x = 854,515.19 × 209,763.34
  4. Step 4: Simplify right side
    569,620.16x = 179,245,957,543.34
  5. Step 5: Solve for x
    x = 179,245,957,543.34/569,620.16
  6. Step 6: Final answer
    x = 314,676.29

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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.