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Finding the Fourth Proportional to 457,405.20, 686,107.80 and 208,087.20

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Solution

The fourth proportional to 457,405.20, 686,107.80 and 208,087.20 is: 312,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,405.20 : 686,107.80 = 208,087.20 : x
  2. Step 2: Convert to fraction form
    457,405.20/686,107.80 = 208,087.20/x
  3. Step 3: Cross multiply
    457,405.20x = 686,107.80 × 208,087.20
  4. Step 4: Simplify right side
    457,405.20x = 142,770,251,000.16
  5. Step 5: Solve for x
    x = 142,770,251,000.16/457,405.20
  6. Step 6: Final answer
    x = 312,130.80

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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.