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Finding the Fourth Proportional to 457,984.44, 686,978.48 and 191,558.09

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Solution

The fourth proportional to 457,984.44, 686,978.48 and 191,558.09 is: 287,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,984.44 : 686,978.48 = 191,558.09 : x
  2. Step 2: Convert to fraction form
    457,984.44/686,978.48 = 191,558.09/x
  3. Step 3: Cross multiply
    457,984.44x = 686,978.48 × 191,558.09
  4. Step 4: Simplify right side
    457,984.44x = 131,596,287,696.25
  5. Step 5: Solve for x
    x = 131,596,287,696.25/457,984.44
  6. Step 6: Final answer
    x = 287,337.90

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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.