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Finding the Fourth Proportional to 431,556.21, 595,617.71 and 259,647.93

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Solution

The fourth proportional to 431,556.21, 595,617.71 and 259,647.93 is: 358,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,556.21 : 595,617.71 = 259,647.93 : x
  2. Step 2: Convert to fraction form
    431,556.21/595,617.71 = 259,647.93/x
  3. Step 3: Cross multiply
    431,556.21x = 595,617.71 × 259,647.93
  4. Step 4: Simplify right side
    431,556.21x = 154,650,903,143.87
  5. Step 5: Solve for x
    x = 154,650,903,143.87/431,556.21
  6. Step 6: Final answer
    x = 358,356.34

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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.