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Finding the Fourth Proportional to 394,417.80, 590,946.30 and 183,623.40

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Solution

The fourth proportional to 394,417.80, 590,946.30 and 183,623.40 is: 275,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,417.80 : 590,946.30 = 183,623.40 : x
  2. Step 2: Convert to fraction form
    394,417.80/590,946.30 = 183,623.40/x
  3. Step 3: Cross multiply
    394,417.80x = 590,946.30 × 183,623.40
  4. Step 4: Simplify right side
    394,417.80x = 108,511,568,823.42
  5. Step 5: Solve for x
    x = 108,511,568,823.42/394,417.80
  6. Step 6: Final answer
    x = 275,118.34

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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.