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Finding the Fourth Proportional to 492,180.30, 738,270.45 and 176,596.20

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Solution

The fourth proportional to 492,180.30, 738,270.45 and 176,596.20 is: 264,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,180.30 : 738,270.45 = 176,596.20 : x
  2. Step 2: Convert to fraction form
    492,180.30/738,270.45 = 176,596.20/x
  3. Step 3: Cross multiply
    492,180.30x = 738,270.45 × 176,596.20
  4. Step 4: Simplify right side
    492,180.30x = 130,375,756,042.29
  5. Step 5: Solve for x
    x = 130,375,756,042.29/492,180.30
  6. Step 6: Final answer
    x = 264,894.30

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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.