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Finding the Fourth Proportional to 270,628.74, 405,994.14 and 83,596.50

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Solution

The fourth proportional to 270,628.74, 405,994.14 and 83,596.50 is: 125,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,628.74 : 405,994.14 = 83,596.50 : x
  2. Step 2: Convert to fraction form
    270,628.74/405,994.14 = 83,596.50/x
  3. Step 3: Cross multiply
    270,628.74x = 405,994.14 × 83,596.50
  4. Step 4: Simplify right side
    270,628.74x = 33,939,689,124.51
  5. Step 5: Solve for x
    x = 33,939,689,124.51/270,628.74
  6. Step 6: Final answer
    x = 125,410.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.