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Finding the Fourth Proportional to 301,185.87, 451,807.16 and 214,992.96

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Solution

The fourth proportional to 301,185.87, 451,807.16 and 214,992.96 is: 322,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,185.87 : 451,807.16 = 214,992.96 : x
  2. Step 2: Convert to fraction form
    301,185.87/451,807.16 = 214,992.96/x
  3. Step 3: Cross multiply
    301,185.87x = 451,807.16 × 214,992.96
  4. Step 4: Simplify right side
    301,185.87x = 97,135,357,602.63
  5. Step 5: Solve for x
    x = 97,135,357,602.63/301,185.87
  6. Step 6: Final answer
    x = 322,509.68

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Why These Related Problems?

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