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Finding the Fourth Proportional to 457,928.54, 686,408 and 154,033.39

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Solution

The fourth proportional to 457,928.54, 686,408 and 154,033.39 is: 230,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,928.54 : 686,408 = 154,033.39 : x
  2. Step 2: Convert to fraction form
    457,928.54/686,408 = 154,033.39/x
  3. Step 3: Cross multiply
    457,928.54x = 686,408 × 154,033.39
  4. Step 4: Simplify right side
    457,928.54x = 105,729,751,163.12
  5. Step 5: Solve for x
    x = 105,729,751,163.12/457,928.54
  6. Step 6: Final answer
    x = 230,887.01

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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.