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Finding the Fourth Proportional to 462,849.64, 694,668.96 and 182,563.72

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Solution

The fourth proportional to 462,849.64, 694,668.96 and 182,563.72 is: 274,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,849.64 : 694,668.96 = 182,563.72 : x
  2. Step 2: Convert to fraction form
    462,849.64/694,668.96 = 182,563.72/x
  3. Step 3: Cross multiply
    462,849.64x = 694,668.96 × 182,563.72
  4. Step 4: Simplify right side
    462,849.64x = 126,821,349,506.13
  5. Step 5: Solve for x
    x = 126,821,349,506.13/462,849.64
  6. Step 6: Final answer
    x = 274,001.18

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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.