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Finding the Fourth Proportional to 550,354.96, 825,497.72 and 195,322

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Solution

The fourth proportional to 550,354.96, 825,497.72 and 195,322 is: 292,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,354.96 : 825,497.72 = 195,322 : x
  2. Step 2: Convert to fraction form
    550,354.96/825,497.72 = 195,322/x
  3. Step 3: Cross multiply
    550,354.96x = 825,497.72 × 195,322
  4. Step 4: Simplify right side
    550,354.96x = 161,237,865,665.84
  5. Step 5: Solve for x
    x = 161,237,865,665.84/550,354.96
  6. Step 6: Final answer
    x = 292,970.68

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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.