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Finding the Fourth Proportional to 305,353.54, 457,563.23 and 163,219.06

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Solution

The fourth proportional to 305,353.54, 457,563.23 and 163,219.06 is: 244,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,353.54 : 457,563.23 = 163,219.06 : x
  2. Step 2: Convert to fraction form
    305,353.54/457,563.23 = 163,219.06/x
  3. Step 3: Cross multiply
    305,353.54x = 457,563.23 × 163,219.06
  4. Step 4: Simplify right side
    305,353.54x = 74,683,040,291.16
  5. Step 5: Solve for x
    x = 74,683,040,291.16/305,353.54
  6. Step 6: Final answer
    x = 244,578.92

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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.