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Finding the Fourth Proportional to 297,671.43, 410,784.93 and 161,704.27

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Solution

The fourth proportional to 297,671.43, 410,784.93 and 161,704.27 is: 223,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,671.43 : 410,784.93 = 161,704.27 : x
  2. Step 2: Convert to fraction form
    297,671.43/410,784.93 = 161,704.27/x
  3. Step 3: Cross multiply
    297,671.43x = 410,784.93 × 161,704.27
  4. Step 4: Simplify right side
    297,671.43x = 66,425,677,232.65
  5. Step 5: Solve for x
    x = 66,425,677,232.65/297,671.43
  6. Step 6: Final answer
    x = 223,151.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.