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Finding the Fourth Proportional to 305,540.64, 420,150.52 and 265,184.12

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Solution

The fourth proportional to 305,540.64, 420,150.52 and 265,184.12 is: 364,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,540.64 : 420,150.52 = 265,184.12 : x
  2. Step 2: Convert to fraction form
    305,540.64/420,150.52 = 265,184.12/x
  3. Step 3: Cross multiply
    305,540.64x = 420,150.52 × 265,184.12
  4. Step 4: Simplify right side
    305,540.64x = 111,417,245,913.74
  5. Step 5: Solve for x
    x = 111,417,245,913.74/305,540.64
  6. Step 6: Final answer
    x = 364,656.06

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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.