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Finding the Fourth Proportional to 430,227.88, 593,621.70 and 260,469.16

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Solution

The fourth proportional to 430,227.88, 593,621.70 and 260,469.16 is: 359,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,227.88 : 593,621.70 = 260,469.16 : x
  2. Step 2: Convert to fraction form
    430,227.88/593,621.70 = 260,469.16/x
  3. Step 3: Cross multiply
    430,227.88x = 593,621.70 × 260,469.16
  4. Step 4: Simplify right side
    430,227.88x = 154,620,145,556.77
  5. Step 5: Solve for x
    x = 154,620,145,556.77/430,227.88
  6. Step 6: Final answer
    x = 359,391.27

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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.