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Finding the Fourth Proportional to 383,148.66, 574,748.94 and 146,516.34

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Solution

The fourth proportional to 383,148.66, 574,748.94 and 146,516.34 is: 219,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,148.66 : 574,748.94 = 146,516.34 : x
  2. Step 2: Convert to fraction form
    383,148.66/574,748.94 = 146,516.34/x
  3. Step 3: Cross multiply
    383,148.66x = 574,748.94 × 146,516.34
  4. Step 4: Simplify right side
    383,148.66x = 84,210,111,107.68
  5. Step 5: Solve for x
    x = 84,210,111,107.68/383,148.66
  6. Step 6: Final answer
    x = 219,784.43

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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.