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Finding the Fourth Proportional to 403,590.82, 605,384.55 and 123,107.14

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Solution

The fourth proportional to 403,590.82, 605,384.55 and 123,107.14 is: 184,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,590.82 : 605,384.55 = 123,107.14 : x
  2. Step 2: Convert to fraction form
    403,590.82/605,384.55 = 123,107.14/x
  3. Step 3: Cross multiply
    403,590.82x = 605,384.55 × 123,107.14
  4. Step 4: Simplify right side
    403,590.82x = 74,527,160,550.69
  5. Step 5: Solve for x
    x = 74,527,160,550.69/403,590.82
  6. Step 6: Final answer
    x = 184,660.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.