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Finding the Fourth Proportional to 556,649.44, 834,989.73 and 196,769.42

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Solution

The fourth proportional to 556,649.44, 834,989.73 and 196,769.42 is: 295,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,649.44 : 834,989.73 = 196,769.42 : x
  2. Step 2: Convert to fraction form
    556,649.44/834,989.73 = 196,769.42/x
  3. Step 3: Cross multiply
    556,649.44x = 834,989.73 × 196,769.42
  4. Step 4: Simplify right side
    556,649.44x = 164,300,443,096.43
  5. Step 5: Solve for x
    x = 164,300,443,096.43/556,649.44
  6. Step 6: Final answer
    x = 295,159.63

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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.