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Finding the Fourth Proportional to 437,806.54, 656,655.46 and 117,983.42

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Solution

The fourth proportional to 437,806.54, 656,655.46 and 117,983.42 is: 176,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,806.54 : 656,655.46 = 117,983.42 : x
  2. Step 2: Convert to fraction form
    437,806.54/656,655.46 = 117,983.42/x
  3. Step 3: Cross multiply
    437,806.54x = 656,655.46 × 117,983.42
  4. Step 4: Simplify right side
    437,806.54x = 77,474,453,059.28
  5. Step 5: Solve for x
    x = 77,474,453,059.28/437,806.54
  6. Step 6: Final answer
    x = 176,960.47

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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.