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Finding the Fourth Proportional to 380,409.60, 524,958.84 and 210,640.08

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Solution

The fourth proportional to 380,409.60, 524,958.84 and 210,640.08 is: 290,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,409.60 : 524,958.84 = 210,640.08 : x
  2. Step 2: Convert to fraction form
    380,409.60/524,958.84 = 210,640.08/x
  3. Step 3: Cross multiply
    380,409.60x = 524,958.84 × 210,640.08
  4. Step 4: Simplify right side
    380,409.60x = 110,577,372,054.31
  5. Step 5: Solve for x
    x = 110,577,372,054.31/380,409.60
  6. Step 6: Final answer
    x = 290,679.76

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