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Finding the Fourth Proportional to 505,580.49, 757,507.56 and 278,066.54

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Solution

The fourth proportional to 505,580.49, 757,507.56 and 278,066.54 is: 416,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,580.49 : 757,507.56 = 278,066.54 : x
  2. Step 2: Convert to fraction form
    505,580.49/757,507.56 = 278,066.54/x
  3. Step 3: Cross multiply
    505,580.49x = 757,507.56 × 278,066.54
  4. Step 4: Simplify right side
    505,580.49x = 210,637,507,431.65
  5. Step 5: Solve for x
    x = 210,637,507,431.65/505,580.49
  6. Step 6: Final answer
    x = 416,625.07

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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.