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Finding the Fourth Proportional to 333,998.28, 501,169.68 and 156,523.32

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Solution

The fourth proportional to 333,998.28, 501,169.68 and 156,523.32 is: 234,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,998.28 : 501,169.68 = 156,523.32 : x
  2. Step 2: Convert to fraction form
    333,998.28/501,169.68 = 156,523.32/x
  3. Step 3: Cross multiply
    333,998.28x = 501,169.68 × 156,523.32
  4. Step 4: Simplify right side
    333,998.28x = 78,444,742,196.94
  5. Step 5: Solve for x
    x = 78,444,742,196.94/333,998.28
  6. Step 6: Final answer
    x = 234,865.71

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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.