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Finding the Fourth Proportional to 537,978.48, 806,967.54 and 178,052.64

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Solution

The fourth proportional to 537,978.48, 806,967.54 and 178,052.64 is: 267,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,978.48 : 806,967.54 = 178,052.64 : x
  2. Step 2: Convert to fraction form
    537,978.48/806,967.54 = 178,052.64/x
  3. Step 3: Cross multiply
    537,978.48x = 806,967.54 × 178,052.64
  4. Step 4: Simplify right side
    537,978.48x = 143,682,700,891.31
  5. Step 5: Solve for x
    x = 143,682,700,891.31/537,978.48
  6. Step 6: Final answer
    x = 267,078.90

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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.