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Finding the Fourth Proportional to 262,905.40, 394,358.10 and 162,740.80

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Solution

The fourth proportional to 262,905.40, 394,358.10 and 162,740.80 is: 244,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,905.40 : 394,358.10 = 162,740.80 : x
  2. Step 2: Convert to fraction form
    262,905.40/394,358.10 = 162,740.80/x
  3. Step 3: Cross multiply
    262,905.40x = 394,358.10 × 162,740.80
  4. Step 4: Simplify right side
    262,905.40x = 64,178,152,680.48
  5. Step 5: Solve for x
    x = 64,178,152,680.48/262,905.40
  6. Step 6: Final answer
    x = 244,111.20

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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.