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Finding the Fourth Proportional to 548,441.60, 822,969.60 and 232,844.80

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Solution

The fourth proportional to 548,441.60, 822,969.60 and 232,844.80 is: 349,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,441.60 : 822,969.60 = 232,844.80 : x
  2. Step 2: Convert to fraction form
    548,441.60/822,969.60 = 232,844.80/x
  3. Step 3: Cross multiply
    548,441.60x = 822,969.60 × 232,844.80
  4. Step 4: Simplify right side
    548,441.60x = 191,624,191,918.08
  5. Step 5: Solve for x
    x = 191,624,191,918.08/548,441.60
  6. Step 6: Final answer
    x = 349,397.62

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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.