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Finding the Fourth Proportional to 463,125.60, 694,325.52 and 182,852.64

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Solution

The fourth proportional to 463,125.60, 694,325.52 and 182,852.64 is: 274,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,125.60 : 694,325.52 = 182,852.64 : x
  2. Step 2: Convert to fraction form
    463,125.60/694,325.52 = 182,852.64/x
  3. Step 3: Cross multiply
    463,125.60x = 694,325.52 × 182,852.64
  4. Step 4: Simplify right side
    463,125.60x = 126,959,254,351.37
  5. Step 5: Solve for x
    x = 126,959,254,351.37/463,125.60
  6. Step 6: Final answer
    x = 274,135.69

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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.