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Finding the Fourth Proportional to 442,051.39, 663,077.07 and 161,568.64

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Solution

The fourth proportional to 442,051.39, 663,077.07 and 161,568.64 is: 242,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,051.39 : 663,077.07 = 161,568.64 : x
  2. Step 2: Convert to fraction form
    442,051.39/663,077.07 = 161,568.64/x
  3. Step 3: Cross multiply
    442,051.39x = 663,077.07 × 161,568.64
  4. Step 4: Simplify right side
    442,051.39x = 107,132,460,415.09
  5. Step 5: Solve for x
    x = 107,132,460,415.09/442,051.39
  6. Step 6: Final answer
    x = 242,352.95

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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.