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Finding the Fourth Proportional to 366,745.48, 506,274.56 and 230,978.94

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Solution

The fourth proportional to 366,745.48, 506,274.56 and 230,978.94 is: 318,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,745.48 : 506,274.56 = 230,978.94 : x
  2. Step 2: Convert to fraction form
    366,745.48/506,274.56 = 230,978.94/x
  3. Step 3: Cross multiply
    366,745.48x = 506,274.56 × 230,978.94
  4. Step 4: Simplify right side
    366,745.48x = 116,938,761,217.77
  5. Step 5: Solve for x
    x = 116,938,761,217.77/366,745.48
  6. Step 6: Final answer
    x = 318,855.36

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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.