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Finding the Fourth Proportional to 441,653.46, 662,387.31 and 142,160.82

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Solution

The fourth proportional to 441,653.46, 662,387.31 and 142,160.82 is: 213,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,653.46 : 662,387.31 = 142,160.82 : x
  2. Step 2: Convert to fraction form
    441,653.46/662,387.31 = 142,160.82/x
  3. Step 3: Cross multiply
    441,653.46x = 662,387.31 × 142,160.82
  4. Step 4: Simplify right side
    441,653.46x = 94,165,523,147.19
  5. Step 5: Solve for x
    x = 94,165,523,147.19/441,653.46
  6. Step 6: Final answer
    x = 213,211.33

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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.