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Finding the Fourth Proportional to 412,704.03, 569,290.26 and 259,499.67

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Solution

The fourth proportional to 412,704.03, 569,290.26 and 259,499.67 is: 357,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,704.03 : 569,290.26 = 259,499.67 : x
  2. Step 2: Convert to fraction form
    412,704.03/569,290.26 = 259,499.67/x
  3. Step 3: Cross multiply
    412,704.03x = 569,290.26 × 259,499.67
  4. Step 4: Simplify right side
    412,704.03x = 147,730,634,604.21
  5. Step 5: Solve for x
    x = 147,730,634,604.21/412,704.03
  6. Step 6: Final answer
    x = 357,957.82

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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.