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Finding the Fourth Proportional to 304,470.50, 420,163.47 and 168,504.50

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Solution

The fourth proportional to 304,470.50, 420,163.47 and 168,504.50 is: 232,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,470.50 : 420,163.47 = 168,504.50 : x
  2. Step 2: Convert to fraction form
    304,470.50/420,163.47 = 168,504.50/x
  3. Step 3: Cross multiply
    304,470.50x = 420,163.47 × 168,504.50
  4. Step 4: Simplify right side
    304,470.50x = 70,799,436,481.02
  5. Step 5: Solve for x
    x = 70,799,436,481.02/304,470.50
  6. Step 6: Final answer
    x = 232,533.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.