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Finding the Fourth Proportional to 615,474.11, 923,257.86 and 166,188.44

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Solution

The fourth proportional to 615,474.11, 923,257.86 and 166,188.44 is: 249,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,474.11 : 923,257.86 = 166,188.44 : x
  2. Step 2: Convert to fraction form
    615,474.11/923,257.86 = 166,188.44/x
  3. Step 3: Cross multiply
    615,474.11x = 923,257.86 × 166,188.44
  4. Step 4: Simplify right side
    615,474.11x = 153,434,778,023.91
  5. Step 5: Solve for x
    x = 153,434,778,023.91/615,474.11
  6. Step 6: Final answer
    x = 249,295.26

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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.