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Finding the Fourth Proportional to 305,354.04, 457,563.98 and 163,219.56

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Solution

The fourth proportional to 305,354.04, 457,563.98 and 163,219.56 is: 244,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,354.04 : 457,563.98 = 163,219.56 : x
  2. Step 2: Convert to fraction form
    305,354.04/457,563.98 = 163,219.56/x
  3. Step 3: Cross multiply
    305,354.04x = 457,563.98 × 163,219.56
  4. Step 4: Simplify right side
    305,354.04x = 74,683,391,895.50
  5. Step 5: Solve for x
    x = 74,683,391,895.50/305,354.04
  6. Step 6: Final answer
    x = 244,579.68

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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.