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Finding the Fourth Proportional to 301,682.64, 416,308.59 and 180,890.58

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Solution

The fourth proportional to 301,682.64, 416,308.59 and 180,890.58 is: 249,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,682.64 : 416,308.59 = 180,890.58 : x
  2. Step 2: Convert to fraction form
    301,682.64/416,308.59 = 180,890.58/x
  3. Step 3: Cross multiply
    301,682.64x = 416,308.59 × 180,890.58
  4. Step 4: Simplify right side
    301,682.64x = 75,306,302,304.08
  5. Step 5: Solve for x
    x = 75,306,302,304.08/301,682.64
  6. Step 6: Final answer
    x = 249,620.93

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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.