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Finding the Fourth Proportional to 404,357.22, 557,765.70 and 259,114.11

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Solution

The fourth proportional to 404,357.22, 557,765.70 and 259,114.11 is: 357,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,357.22 : 557,765.70 = 259,114.11 : x
  2. Step 2: Convert to fraction form
    404,357.22/557,765.70 = 259,114.11/x
  3. Step 3: Cross multiply
    404,357.22x = 557,765.70 × 259,114.11
  4. Step 4: Simplify right side
    404,357.22x = 144,524,962,944.03
  5. Step 5: Solve for x
    x = 144,524,962,944.03/404,357.22
  6. Step 6: Final answer
    x = 357,419.02

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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.