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Finding the Fourth Proportional to 302,449.96, 416,682.18 and 217,419.88

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Solution

The fourth proportional to 302,449.96, 416,682.18 and 217,419.88 is: 299,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,449.96 : 416,682.18 = 217,419.88 : x
  2. Step 2: Convert to fraction form
    302,449.96/416,682.18 = 217,419.88/x
  3. Step 3: Cross multiply
    302,449.96x = 416,682.18 × 217,419.88
  4. Step 4: Simplify right side
    302,449.96x = 90,594,989,573.74
  5. Step 5: Solve for x
    x = 90,594,989,573.74/302,449.96
  6. Step 6: Final answer
    x = 299,537.12

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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.