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Finding the Fourth Proportional to 505,603, 697,732.14 and 279,263.08

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Solution

The fourth proportional to 505,603, 697,732.14 and 279,263.08 is: 385,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,603 : 697,732.14 = 279,263.08 : x
  2. Step 2: Convert to fraction form
    505,603/697,732.14 = 279,263.08/x
  3. Step 3: Cross multiply
    505,603x = 697,732.14 × 279,263.08
  4. Step 4: Simplify right side
    505,603x = 194,850,826,431.39
  5. Step 5: Solve for x
    x = 194,850,826,431.39/505,603
  6. Step 6: Final answer
    x = 385,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.