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Finding the Fourth Proportional to 457,112.29, 686,110.70 and 220,621.45

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Solution

The fourth proportional to 457,112.29, 686,110.70 and 220,621.45 is: 331,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,112.29 : 686,110.70 = 220,621.45 : x
  2. Step 2: Convert to fraction form
    457,112.29/686,110.70 = 220,621.45/x
  3. Step 3: Cross multiply
    457,112.29x = 686,110.70 × 220,621.45
  4. Step 4: Simplify right side
    457,112.29x = 151,370,736,391.41
  5. Step 5: Solve for x
    x = 151,370,736,391.41/457,112.29
  6. Step 6: Final answer
    x = 331,145.63

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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.