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Finding the Fourth Proportional to 338,766.94, 507,989.53 and 196,655.77

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Solution

The fourth proportional to 338,766.94, 507,989.53 and 196,655.77 is: 294,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,766.94 : 507,989.53 = 196,655.77 : x
  2. Step 2: Convert to fraction form
    338,766.94/507,989.53 = 196,655.77/x
  3. Step 3: Cross multiply
    338,766.94x = 507,989.53 × 196,655.77
  4. Step 4: Simplify right side
    338,766.94x = 99,899,072,174.09
  5. Step 5: Solve for x
    x = 99,899,072,174.09/338,766.94
  6. Step 6: Final answer
    x = 294,890.26

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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.