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Finding the Fourth Proportional to 414,290.63, 571,799.59 and 259,313.81

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Solution

The fourth proportional to 414,290.63, 571,799.59 and 259,313.81 is: 357,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,290.63 : 571,799.59 = 259,313.81 : x
  2. Step 2: Convert to fraction form
    414,290.63/571,799.59 = 259,313.81/x
  3. Step 3: Cross multiply
    414,290.63x = 571,799.59 × 259,313.81
  4. Step 4: Simplify right side
    414,290.63x = 148,275,526,732.06
  5. Step 5: Solve for x
    x = 148,275,526,732.06/414,290.63
  6. Step 6: Final answer
    x = 357,902.19

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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.