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Finding the Fourth Proportional to 413,727.64, 620,579.06 and 114,226.50

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Solution

The fourth proportional to 413,727.64, 620,579.06 and 114,226.50 is: 171,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,727.64 : 620,579.06 = 114,226.50 : x
  2. Step 2: Convert to fraction form
    413,727.64/620,579.06 = 114,226.50/x
  3. Step 3: Cross multiply
    413,727.64x = 620,579.06 × 114,226.50
  4. Step 4: Simplify right side
    413,727.64x = 70,886,573,997.09
  5. Step 5: Solve for x
    x = 70,886,573,997.09/413,727.64
  6. Step 6: Final answer
    x = 171,336.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.