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Finding the Fourth Proportional to 463,243.91, 694,718.24 and 147,627

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Solution

The fourth proportional to 463,243.91, 694,718.24 and 147,627 is: 221,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,243.91 : 694,718.24 = 147,627 : x
  2. Step 2: Convert to fraction form
    463,243.91/694,718.24 = 147,627/x
  3. Step 3: Cross multiply
    463,243.91x = 694,718.24 × 147,627
  4. Step 4: Simplify right side
    463,243.91x = 102,559,168,878.35
  5. Step 5: Solve for x
    x = 102,559,168,878.35/463,243.91
  6. Step 6: Final answer
    x = 221,393.46

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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.