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Finding the Fourth Proportional to 294,923.36, 407,023.44 and 174,104.48

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Solution

The fourth proportional to 294,923.36, 407,023.44 and 174,104.48 is: 240,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,923.36 : 407,023.44 = 174,104.48 : x
  2. Step 2: Convert to fraction form
    294,923.36/407,023.44 = 174,104.48/x
  3. Step 3: Cross multiply
    294,923.36x = 407,023.44 × 174,104.48
  4. Step 4: Simplify right side
    294,923.36x = 70,864,604,369.01
  5. Step 5: Solve for x
    x = 70,864,604,369.01/294,923.36
  6. Step 6: Final answer
    x = 240,281.42

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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.