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Finding the Fourth Proportional to 323,033.90, 484,650.14 and 165,373.07

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Solution

The fourth proportional to 323,033.90, 484,650.14 and 165,373.07 is: 248,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,033.90 : 484,650.14 = 165,373.07 : x
  2. Step 2: Convert to fraction form
    323,033.90/484,650.14 = 165,373.07/x
  3. Step 3: Cross multiply
    323,033.90x = 484,650.14 × 165,373.07
  4. Step 4: Simplify right side
    323,033.90x = 80,148,078,277.61
  5. Step 5: Solve for x
    x = 80,148,078,277.61/323,033.90
  6. Step 6: Final answer
    x = 248,110.43

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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.