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Finding the Fourth Proportional to 492,829.92, 739,250.72 and 193,451.48

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Solution

The fourth proportional to 492,829.92, 739,250.72 and 193,451.48 is: 290,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,829.92 : 739,250.72 = 193,451.48 : x
  2. Step 2: Convert to fraction form
    492,829.92/739,250.72 = 193,451.48/x
  3. Step 3: Cross multiply
    492,829.92x = 739,250.72 × 193,451.48
  4. Step 4: Simplify right side
    492,829.92x = 143,009,145,875.07
  5. Step 5: Solve for x
    x = 143,009,145,875.07/492,829.92
  6. Step 6: Final answer
    x = 290,179.51

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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.