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Finding the Fourth Proportional to 492,051.68, 738,140.04 and 192,493.83

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Solution

The fourth proportional to 492,051.68, 738,140.04 and 192,493.83 is: 288,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,051.68 : 738,140.04 = 192,493.83 : x
  2. Step 2: Convert to fraction form
    492,051.68/738,140.04 = 192,493.83/x
  3. Step 3: Cross multiply
    492,051.68x = 738,140.04 × 192,493.83
  4. Step 4: Simplify right side
    492,051.68x = 142,087,406,143.98
  5. Step 5: Solve for x
    x = 142,087,406,143.98/492,051.68
  6. Step 6: Final answer
    x = 288,765.21

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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.