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Finding the Fourth Proportional to 577,741.44, 866,388.24 and 198,590.88

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Solution

The fourth proportional to 577,741.44, 866,388.24 and 198,590.88 is: 297,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,741.44 : 866,388.24 = 198,590.88 : x
  2. Step 2: Convert to fraction form
    577,741.44/866,388.24 = 198,590.88/x
  3. Step 3: Cross multiply
    577,741.44x = 866,388.24 × 198,590.88
  4. Step 4: Simplify right side
    577,741.44x = 172,056,803,003.25
  5. Step 5: Solve for x
    x = 172,056,803,003.25/577,741.44
  6. Step 6: Final answer
    x = 297,809.35

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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.