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Finding the Fourth Proportional to 338,211.41, 507,394.87 and 101,558.57

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Solution

The fourth proportional to 338,211.41, 507,394.87 and 101,558.57 is: 152,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,211.41 : 507,394.87 = 101,558.57 : x
  2. Step 2: Convert to fraction form
    338,211.41/507,394.87 = 101,558.57/x
  3. Step 3: Cross multiply
    338,211.41x = 507,394.87 × 101,558.57
  4. Step 4: Simplify right side
    338,211.41x = 51,530,294,631.67
  5. Step 5: Solve for x
    x = 51,530,294,631.67/338,211.41
  6. Step 6: Final answer
    x = 152,361.20

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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.