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Finding the Fourth Proportional to 442,055.80, 663,083.70 and 161,774.20

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Solution

The fourth proportional to 442,055.80, 663,083.70 and 161,774.20 is: 242,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,055.80 : 663,083.70 = 161,774.20 : x
  2. Step 2: Convert to fraction form
    442,055.80/663,083.70 = 161,774.20/x
  3. Step 3: Cross multiply
    442,055.80x = 663,083.70 × 161,774.20
  4. Step 4: Simplify right side
    442,055.80x = 107,269,835,100.54
  5. Step 5: Solve for x
    x = 107,269,835,100.54/442,055.80
  6. Step 6: Final answer
    x = 242,661.30

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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.