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Finding the Fourth Proportional to 323,070.70, 484,705.26 and 165,409.86

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Solution

The fourth proportional to 323,070.70, 484,705.26 and 165,409.86 is: 248,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,070.70 : 484,705.26 = 165,409.86 : x
  2. Step 2: Convert to fraction form
    323,070.70/484,705.26 = 165,409.86/x
  3. Step 3: Cross multiply
    323,070.70x = 484,705.26 × 165,409.86
  4. Step 4: Simplify right side
    323,070.70x = 80,175,029,197.86
  5. Step 5: Solve for x
    x = 80,175,029,197.86/323,070.70
  6. Step 6: Final answer
    x = 248,165.58

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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.