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Finding the Fourth Proportional to 313,957.60, 470,936.40 and 189,234.40

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Solution

The fourth proportional to 313,957.60, 470,936.40 and 189,234.40 is: 283,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,957.60 : 470,936.40 = 189,234.40 : x
  2. Step 2: Convert to fraction form
    313,957.60/470,936.40 = 189,234.40/x
  3. Step 3: Cross multiply
    313,957.60x = 470,936.40 × 189,234.40
  4. Step 4: Simplify right side
    313,957.60x = 89,117,367,092.16
  5. Step 5: Solve for x
    x = 89,117,367,092.16/313,957.60
  6. Step 6: Final answer
    x = 283,851.60

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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.