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Finding the Fourth Proportional to 650,823.21, 976,329.86 and 201,584.25

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Solution

The fourth proportional to 650,823.21, 976,329.86 and 201,584.25 is: 302,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,823.21 : 976,329.86 = 201,584.25 : x
  2. Step 2: Convert to fraction form
    650,823.21/976,329.86 = 201,584.25/x
  3. Step 3: Cross multiply
    650,823.21x = 976,329.86 × 201,584.25
  4. Step 4: Simplify right side
    650,823.21x = 196,812,721,572.78
  5. Step 5: Solve for x
    x = 196,812,721,572.78/650,823.21
  6. Step 6: Final answer
    x = 302,405.81

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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.