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Finding the Fourth Proportional to 457,883.41, 686,941.94 and 142,343.05

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Solution

The fourth proportional to 457,883.41, 686,941.94 and 142,343.05 is: 213,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,883.41 : 686,941.94 = 142,343.05 : x
  2. Step 2: Convert to fraction form
    457,883.41/686,941.94 = 142,343.05/x
  3. Step 3: Cross multiply
    457,883.41x = 686,941.94 × 142,343.05
  4. Step 4: Simplify right side
    457,883.41x = 97,781,410,912.52
  5. Step 5: Solve for x
    x = 97,781,410,912.52/457,883.41
  6. Step 6: Final answer
    x = 213,550.89

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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.