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Finding the Fourth Proportional to 340,054.64, 468,531.24 and 225,138.32

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Solution

The fourth proportional to 340,054.64, 468,531.24 and 225,138.32 is: 310,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,054.64 : 468,531.24 = 225,138.32 : x
  2. Step 2: Convert to fraction form
    340,054.64/468,531.24 = 225,138.32/x
  3. Step 3: Cross multiply
    340,054.64x = 468,531.24 × 225,138.32
  4. Step 4: Simplify right side
    340,054.64x = 105,484,336,241.12
  5. Step 5: Solve for x
    x = 105,484,336,241.12/340,054.64
  6. Step 6: Final answer
    x = 310,198.20

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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.