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Finding the Fourth Proportional to 315,577.43, 473,370.32 and 105,215.43

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Solution

The fourth proportional to 315,577.43, 473,370.32 and 105,215.43 is: 157,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,577.43 : 473,370.32 = 105,215.43 : x
  2. Step 2: Convert to fraction form
    315,577.43/473,370.32 = 105,215.43/x
  3. Step 3: Cross multiply
    315,577.43x = 473,370.32 × 105,215.43
  4. Step 4: Simplify right side
    315,577.43x = 49,805,861,241.96
  5. Step 5: Solve for x
    x = 49,805,861,241.96/315,577.43
  6. Step 6: Final answer
    x = 157,824.54

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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.