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Finding the Fourth Proportional to 293,706, 405,314.28 and 159,570

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Solution

The fourth proportional to 293,706, 405,314.28 and 159,570 is: 220,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,706 : 405,314.28 = 159,570 : x
  2. Step 2: Convert to fraction form
    293,706/405,314.28 = 159,570/x
  3. Step 3: Cross multiply
    293,706x = 405,314.28 × 159,570
  4. Step 4: Simplify right side
    293,706x = 64,675,999,659.60
  5. Step 5: Solve for x
    x = 64,675,999,659.60/293,706
  6. Step 6: Final answer
    x = 220,206.60

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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.