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Finding the Fourth Proportional to 505,105.17, 697,134.04 and 301,168.63

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Solution

The fourth proportional to 505,105.17, 697,134.04 and 301,168.63 is: 415,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,105.17 : 697,134.04 = 301,168.63 : x
  2. Step 2: Convert to fraction form
    505,105.17/697,134.04 = 301,168.63/x
  3. Step 3: Cross multiply
    505,105.17x = 697,134.04 × 301,168.63
  4. Step 4: Simplify right side
    505,105.17x = 209,954,905,565.74
  5. Step 5: Solve for x
    x = 209,954,905,565.74/505,105.17
  6. Step 6: Final answer
    x = 415,665.73

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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.