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Finding the Fourth Proportional to 338,323.98, 507,494.21 and 113,687.67

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Solution

The fourth proportional to 338,323.98, 507,494.21 and 113,687.67 is: 170,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,323.98 : 507,494.21 = 113,687.67 : x
  2. Step 2: Convert to fraction form
    338,323.98/507,494.21 = 113,687.67/x
  3. Step 3: Cross multiply
    338,323.98x = 507,494.21 × 113,687.67
  4. Step 4: Simplify right side
    338,323.98x = 57,695,833,704.95
  5. Step 5: Solve for x
    x = 57,695,833,704.95/338,323.98
  6. Step 6: Final answer
    x = 170,534.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.