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Finding the Fourth Proportional to 264,307.30, 364,745.43 and 155,405.49

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Solution

The fourth proportional to 264,307.30, 364,745.43 and 155,405.49 is: 214,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,307.30 : 364,745.43 = 155,405.49 : x
  2. Step 2: Convert to fraction form
    264,307.30/364,745.43 = 155,405.49/x
  3. Step 3: Cross multiply
    264,307.30x = 364,745.43 × 155,405.49
  4. Step 4: Simplify right side
    264,307.30x = 56,683,440,906.62
  5. Step 5: Solve for x
    x = 56,683,440,906.62/264,307.30
  6. Step 6: Final answer
    x = 214,460.37

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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.