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Finding the Fourth Proportional to 547,638.40, 820,843.20 and 232,041.60

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Solution

The fourth proportional to 547,638.40, 820,843.20 and 232,041.60 is: 347,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,638.40 : 820,843.20 = 232,041.60 : x
  2. Step 2: Convert to fraction form
    547,638.40/820,843.20 = 232,041.60/x
  3. Step 3: Cross multiply
    547,638.40x = 820,843.20 × 232,041.60
  4. Step 4: Simplify right side
    547,638.40x = 190,469,769,477.12
  5. Step 5: Solve for x
    x = 190,469,769,477.12/547,638.40
  6. Step 6: Final answer
    x = 347,802.07

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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.