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Finding the Fourth Proportional to 462,969.54, 694,520.85 and 143,146.35

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Solution

The fourth proportional to 462,969.54, 694,520.85 and 143,146.35 is: 214,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,969.54 : 694,520.85 = 143,146.35 : x
  2. Step 2: Convert to fraction form
    462,969.54/694,520.85 = 143,146.35/x
  3. Step 3: Cross multiply
    462,969.54x = 694,520.85 × 143,146.35
  4. Step 4: Simplify right side
    462,969.54x = 99,418,121,203.79
  5. Step 5: Solve for x
    x = 99,418,121,203.79/462,969.54
  6. Step 6: Final answer
    x = 214,740.09

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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.