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Finding the Fourth Proportional to 505,140.24, 697,183.92 and 301,204.32

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Solution

The fourth proportional to 505,140.24, 697,183.92 and 301,204.32 is: 415,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,140.24 : 697,183.92 = 301,204.32 : x
  2. Step 2: Convert to fraction form
    505,140.24/697,183.92 = 301,204.32/x
  3. Step 3: Cross multiply
    505,140.24x = 697,183.92 × 301,204.32
  4. Step 4: Simplify right side
    505,140.24x = 209,994,808,538.53
  5. Step 5: Solve for x
    x = 209,994,808,538.53/505,140.24
  6. Step 6: Final answer
    x = 415,715.86

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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.