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Finding the Fourth Proportional to 442,052.25, 663,078.38 and 161,569.50

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Solution

The fourth proportional to 442,052.25, 663,078.38 and 161,569.50 is: 242,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,052.25 : 663,078.38 = 161,569.50 : x
  2. Step 2: Convert to fraction form
    442,052.25/663,078.38 = 161,569.50/x
  3. Step 3: Cross multiply
    442,052.25x = 663,078.38 × 161,569.50
  4. Step 4: Simplify right side
    442,052.25x = 107,133,241,509.56
  5. Step 5: Solve for x
    x = 107,133,241,509.56/442,052.25
  6. Step 6: Final answer
    x = 242,354.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.