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Finding the Fourth Proportional to 380,409.17, 524,958.23 and 210,639.65

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Solution

The fourth proportional to 380,409.17, 524,958.23 and 210,639.65 is: 290,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,409.17 : 524,958.23 = 210,639.65 : x
  2. Step 2: Convert to fraction form
    380,409.17/524,958.23 = 210,639.65/x
  3. Step 3: Cross multiply
    380,409.17x = 524,958.23 × 210,639.65
  4. Step 4: Simplify right side
    380,409.17x = 110,577,015,733.63
  5. Step 5: Solve for x
    x = 110,577,015,733.63/380,409.17
  6. Step 6: Final answer
    x = 290,679.16

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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.