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Finding the Fourth Proportional to 431,337.72, 595,290.33 and 259,311.37

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Solution

The fourth proportional to 431,337.72, 595,290.33 and 259,311.37 is: 357,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,337.72 : 595,290.33 = 259,311.37 : x
  2. Step 2: Convert to fraction form
    431,337.72/595,290.33 = 259,311.37/x
  3. Step 3: Cross multiply
    431,337.72x = 595,290.33 × 259,311.37
  4. Step 4: Simplify right side
    431,337.72x = 154,365,548,043.60
  5. Step 5: Solve for x
    x = 154,365,548,043.60/431,337.72
  6. Step 6: Final answer
    x = 357,876.31

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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.