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Finding the Fourth Proportional to 492,212.16, 738,379.76 and 192,654.08

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Solution

The fourth proportional to 492,212.16, 738,379.76 and 192,654.08 is: 289,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,212.16 : 738,379.76 = 192,654.08 : x
  2. Step 2: Convert to fraction form
    492,212.16/738,379.76 = 192,654.08/x
  3. Step 3: Cross multiply
    492,212.16x = 738,379.76 × 192,654.08
  4. Step 4: Simplify right side
    492,212.16x = 142,251,873,353.42
  5. Step 5: Solve for x
    x = 142,251,873,353.42/492,212.16
  6. Step 6: Final answer
    x = 289,005.20

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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.