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Finding the Fourth Proportional to 492,503.48, 739,174.86 and 193,192.28

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Solution

The fourth proportional to 492,503.48, 739,174.86 and 193,192.28 is: 289,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,503.48 : 739,174.86 = 193,192.28 : x
  2. Step 2: Convert to fraction form
    492,503.48/739,174.86 = 193,192.28/x
  3. Step 3: Cross multiply
    492,503.48x = 739,174.86 × 193,192.28
  4. Step 4: Simplify right side
    492,503.48x = 142,802,876,522.08
  5. Step 5: Solve for x
    x = 142,802,876,522.08/492,503.48
  6. Step 6: Final answer
    x = 289,953.03

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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.