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Finding the Fourth Proportional to 492,208.16, 738,373.76 and 192,650.08

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Solution

The fourth proportional to 492,208.16, 738,373.76 and 192,650.08 is: 288,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,208.16 : 738,373.76 = 192,650.08 : x
  2. Step 2: Convert to fraction form
    492,208.16/738,373.76 = 192,650.08/x
  3. Step 3: Cross multiply
    492,208.16x = 738,373.76 × 192,650.08
  4. Step 4: Simplify right side
    492,208.16x = 142,247,763,933.90
  5. Step 5: Solve for x
    x = 142,247,763,933.90/492,208.16
  6. Step 6: Final answer
    x = 288,999.20

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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.