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Finding the Fourth Proportional to 383,541.40, 575,096.10 and 146,891.80

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Solution

The fourth proportional to 383,541.40, 575,096.10 and 146,891.80 is: 220,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,541.40 : 575,096.10 = 146,891.80 : x
  2. Step 2: Convert to fraction form
    383,541.40/575,096.10 = 146,891.80/x
  3. Step 3: Cross multiply
    383,541.40x = 575,096.10 × 146,891.80
  4. Step 4: Simplify right side
    383,541.40x = 84,476,901,301.98
  5. Step 5: Solve for x
    x = 84,476,901,301.98/383,541.40
  6. Step 6: Final answer
    x = 220,254.97

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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.