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Finding the Fourth Proportional to 461,194.43, 691,810.16 and 145,651.41

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Solution

The fourth proportional to 461,194.43, 691,810.16 and 145,651.41 is: 218,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,194.43 : 691,810.16 = 145,651.41 : x
  2. Step 2: Convert to fraction form
    461,194.43/691,810.16 = 145,651.41/x
  3. Step 3: Cross multiply
    461,194.43x = 691,810.16 × 145,651.41
  4. Step 4: Simplify right side
    461,194.43x = 100,763,124,528.07
  5. Step 5: Solve for x
    x = 100,763,124,528.07/461,194.43
  6. Step 6: Final answer
    x = 218,482.96

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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.