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Finding the Fourth Proportional to 550,227.60, 825,360.96 and 176,202

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Solution

The fourth proportional to 550,227.60, 825,360.96 and 176,202 is: 264,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,227.60 : 825,360.96 = 176,202 : x
  2. Step 2: Convert to fraction form
    550,227.60/825,360.96 = 176,202/x
  3. Step 3: Cross multiply
    550,227.60x = 825,360.96 × 176,202
  4. Step 4: Simplify right side
    550,227.60x = 145,430,251,873.92
  5. Step 5: Solve for x
    x = 145,430,251,873.92/550,227.60
  6. Step 6: Final answer
    x = 264,309.26

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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.