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Finding the Fourth Proportional to 322,482.64, 445,016.24 and 184,657.09

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Solution

The fourth proportional to 322,482.64, 445,016.24 and 184,657.09 is: 254,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,482.64 : 445,016.24 = 184,657.09 : x
  2. Step 2: Convert to fraction form
    322,482.64/445,016.24 = 184,657.09/x
  3. Step 3: Cross multiply
    322,482.64x = 445,016.24 × 184,657.09
  4. Step 4: Simplify right side
    322,482.64x = 82,175,403,881.14
  5. Step 5: Solve for x
    x = 82,175,403,881.14/322,482.64
  6. Step 6: Final answer
    x = 254,821.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.