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Finding the Fourth Proportional to 463,119.12, 694,744.29 and 147,469.41

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Solution

The fourth proportional to 463,119.12, 694,744.29 and 147,469.41 is: 221,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,119.12 : 694,744.29 = 147,469.41 : x
  2. Step 2: Convert to fraction form
    463,119.12/694,744.29 = 147,469.41/x
  3. Step 3: Cross multiply
    463,119.12x = 694,744.29 × 147,469.41
  4. Step 4: Simplify right side
    463,119.12x = 102,453,530,547.17
  5. Step 5: Solve for x
    x = 102,453,530,547.17/463,119.12
  6. Step 6: Final answer
    x = 221,225.01

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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.