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Finding the Fourth Proportional to 327,225.40, 490,838.10 and 177,537.40

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Solution

The fourth proportional to 327,225.40, 490,838.10 and 177,537.40 is: 266,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,225.40 : 490,838.10 = 177,537.40 : x
  2. Step 2: Convert to fraction form
    327,225.40/490,838.10 = 177,537.40/x
  3. Step 3: Cross multiply
    327,225.40x = 490,838.10 × 177,537.40
  4. Step 4: Simplify right side
    327,225.40x = 87,142,120,094.94
  5. Step 5: Solve for x
    x = 87,142,120,094.94/327,225.40
  6. Step 6: Final answer
    x = 266,306.10

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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.