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Finding the Fourth Proportional to 505,175.64, 697,142.39 and 344,311.71

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Solution

The fourth proportional to 505,175.64, 697,142.39 and 344,311.71 is: 475,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,175.64 : 697,142.39 = 344,311.71 : x
  2. Step 2: Convert to fraction form
    505,175.64/697,142.39 = 344,311.71/x
  3. Step 3: Cross multiply
    505,175.64x = 697,142.39 × 344,311.71
  4. Step 4: Simplify right side
    505,175.64x = 240,034,286,692.83
  5. Step 5: Solve for x
    x = 240,034,286,692.83/505,175.64
  6. Step 6: Final answer
    x = 475,150.16

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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.