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Finding the Fourth Proportional to 451,648.28, 677,472.70 and 114,714.20

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Solution

The fourth proportional to 451,648.28, 677,472.70 and 114,714.20 is: 172,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,648.28 : 677,472.70 = 114,714.20 : x
  2. Step 2: Convert to fraction form
    451,648.28/677,472.70 = 114,714.20/x
  3. Step 3: Cross multiply
    451,648.28x = 677,472.70 × 114,714.20
  4. Step 4: Simplify right side
    451,648.28x = 77,715,738,802.34
  5. Step 5: Solve for x
    x = 77,715,738,802.34/451,648.28
  6. Step 6: Final answer
    x = 172,071.37

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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.