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Finding the Fourth Proportional to 537,842.57, 806,575.82 and 158,662.62

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Solution

The fourth proportional to 537,842.57, 806,575.82 and 158,662.62 is: 237,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,842.57 : 806,575.82 = 158,662.62 : x
  2. Step 2: Convert to fraction form
    537,842.57/806,575.82 = 158,662.62/x
  3. Step 3: Cross multiply
    537,842.57x = 806,575.82 × 158,662.62
  4. Step 4: Simplify right side
    537,842.57x = 127,973,432,036.54
  5. Step 5: Solve for x
    x = 127,973,432,036.54/537,842.57
  6. Step 6: Final answer
    x = 237,938.46

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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.