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Finding the Fourth Proportional to 296,867.56, 409,633.50 and 180,521.68

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Solution

The fourth proportional to 296,867.56, 409,633.50 and 180,521.68 is: 249,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,867.56 : 409,633.50 = 180,521.68 : x
  2. Step 2: Convert to fraction form
    296,867.56/409,633.50 = 180,521.68/x
  3. Step 3: Cross multiply
    296,867.56x = 409,633.50 × 180,521.68
  4. Step 4: Simplify right side
    296,867.56x = 73,947,727,604.28
  5. Step 5: Solve for x
    x = 73,947,727,604.28/296,867.56
  6. Step 6: Final answer
    x = 249,093.32

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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.