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Finding the Fourth Proportional to 447,056.38, 616,945.33 and 243,113.31

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Solution

The fourth proportional to 447,056.38, 616,945.33 and 243,113.31 is: 335,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,056.38 : 616,945.33 = 243,113.31 : x
  2. Step 2: Convert to fraction form
    447,056.38/616,945.33 = 243,113.31/x
  3. Step 3: Cross multiply
    447,056.38x = 616,945.33 × 243,113.31
  4. Step 4: Simplify right side
    447,056.38x = 149,987,623,120.57
  5. Step 5: Solve for x
    x = 149,987,623,120.57/447,056.38
  6. Step 6: Final answer
    x = 335,500.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.