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Finding the Fourth Proportional to 505,149.30, 697,196.34 and 301,213.35

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Solution

The fourth proportional to 505,149.30, 697,196.34 and 301,213.35 is: 415,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,149.30 : 697,196.34 = 301,213.35 : x
  2. Step 2: Convert to fraction form
    505,149.30/697,196.34 = 301,213.35/x
  3. Step 3: Cross multiply
    505,149.30x = 697,196.34 × 301,213.35
  4. Step 4: Simplify right side
    505,149.30x = 210,004,845,179.14
  5. Step 5: Solve for x
    x = 210,004,845,179.14/505,149.30
  6. Step 6: Final answer
    x = 415,728.27

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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.