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Finding the Fourth Proportional to 268,212.80, 401,858.40 and 174,670.40

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Solution

The fourth proportional to 268,212.80, 401,858.40 and 174,670.40 is: 261,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,212.80 : 401,858.40 = 174,670.40 : x
  2. Step 2: Convert to fraction form
    268,212.80/401,858.40 = 174,670.40/x
  3. Step 3: Cross multiply
    268,212.80x = 401,858.40 × 174,670.40
  4. Step 4: Simplify right side
    268,212.80x = 70,192,767,471.36
  5. Step 5: Solve for x
    x = 70,192,767,471.36/268,212.80
  6. Step 6: Final answer
    x = 261,705.51

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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.