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Finding the Fourth Proportional to 505,137.32, 697,179.80 and 301,201.36

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Solution

The fourth proportional to 505,137.32, 697,179.80 and 301,201.36 is: 415,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,137.32 : 697,179.80 = 301,201.36 : x
  2. Step 2: Convert to fraction form
    505,137.32/697,179.80 = 301,201.36/x
  3. Step 3: Cross multiply
    505,137.32x = 697,179.80 × 301,201.36
  4. Step 4: Simplify right side
    505,137.32x = 209,991,503,924.53
  5. Step 5: Solve for x
    x = 209,991,503,924.53/505,137.32
  6. Step 6: Final answer
    x = 415,711.72

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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.