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Finding the Fourth Proportional to 299,995.36, 414,031.68 and 170,980.21

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Solution

The fourth proportional to 299,995.36, 414,031.68 and 170,980.21 is: 235,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,995.36 : 414,031.68 = 170,980.21 : x
  2. Step 2: Convert to fraction form
    299,995.36/414,031.68 = 170,980.21/x
  3. Step 3: Cross multiply
    299,995.36x = 414,031.68 × 170,980.21
  4. Step 4: Simplify right side
    299,995.36x = 70,791,220,667.99
  5. Step 5: Solve for x
    x = 70,791,220,667.99/299,995.36
  6. Step 6: Final answer
    x = 235,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.