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Finding the Fourth Proportional to 295,451.28, 407,722.42 and 174,636.14

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Solution

The fourth proportional to 295,451.28, 407,722.42 and 174,636.14 is: 240,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,451.28 : 407,722.42 = 174,636.14 : x
  2. Step 2: Convert to fraction form
    295,451.28/407,722.42 = 174,636.14/x
  3. Step 3: Cross multiply
    295,451.28x = 407,722.42 × 174,636.14
  4. Step 4: Simplify right side
    295,451.28x = 71,203,069,620.26
  5. Step 5: Solve for x
    x = 71,203,069,620.26/295,451.28
  6. Step 6: Final answer
    x = 240,997.67

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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.