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Finding the Fourth Proportional to 492,703.55, 739,077.20 and 193,157.45

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Solution

The fourth proportional to 492,703.55, 739,077.20 and 193,157.45 is: 289,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,703.55 : 739,077.20 = 193,157.45 : x
  2. Step 2: Convert to fraction form
    492,703.55/739,077.20 = 193,157.45/x
  3. Step 3: Cross multiply
    492,703.55x = 739,077.20 × 193,157.45
  4. Step 4: Simplify right side
    492,703.55x = 142,758,267,305.14
  5. Step 5: Solve for x
    x = 142,758,267,305.14/492,703.55
  6. Step 6: Final answer
    x = 289,744.75

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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.