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Finding the Fourth Proportional to 492,953.30, 739,323.18 and 156,021.34

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Solution

The fourth proportional to 492,953.30, 739,323.18 and 156,021.34 is: 233,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,953.30 : 739,323.18 = 156,021.34 : x
  2. Step 2: Convert to fraction form
    492,953.30/739,323.18 = 156,021.34/x
  3. Step 3: Cross multiply
    492,953.30x = 739,323.18 × 156,021.34
  4. Step 4: Simplify right side
    492,953.30x = 115,350,193,236.66
  5. Step 5: Solve for x
    x = 115,350,193,236.66/492,953.30
  6. Step 6: Final answer
    x = 233,998.22

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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.