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Finding the Fourth Proportional to 537,720.30, 806,580.47 and 200,787.26

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Solution

The fourth proportional to 537,720.30, 806,580.47 and 200,787.26 is: 301,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,720.30 : 806,580.47 = 200,787.26 : x
  2. Step 2: Convert to fraction form
    537,720.30/806,580.47 = 200,787.26/x
  3. Step 3: Cross multiply
    537,720.30x = 806,580.47 × 200,787.26
  4. Step 4: Simplify right side
    537,720.30x = 161,951,080,522.22
  5. Step 5: Solve for x
    x = 161,951,080,522.22/537,720.30
  6. Step 6: Final answer
    x = 301,180.89

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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.