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Finding the Fourth Proportional to 463,044.12, 694,580.76 and 159,435.06

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Solution

The fourth proportional to 463,044.12, 694,580.76 and 159,435.06 is: 239,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,044.12 : 694,580.76 = 159,435.06 : x
  2. Step 2: Convert to fraction form
    463,044.12/694,580.76 = 159,435.06/x
  3. Step 3: Cross multiply
    463,044.12x = 694,580.76 × 159,435.06
  4. Step 4: Simplify right side
    463,044.12x = 110,740,525,145.45
  5. Step 5: Solve for x
    x = 110,740,525,145.45/463,044.12
  6. Step 6: Final answer
    x = 239,157.61

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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.