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Finding the Fourth Proportional to 308,440.90, 462,609.24 and 108,714.34

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Solution

The fourth proportional to 308,440.90, 462,609.24 and 108,714.34 is: 163,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,440.90 : 462,609.24 = 108,714.34 : x
  2. Step 2: Convert to fraction form
    308,440.90/462,609.24 = 108,714.34/x
  3. Step 3: Cross multiply
    308,440.90x = 462,609.24 × 108,714.34
  4. Step 4: Simplify right side
    308,440.90x = 50,292,258,204.50
  5. Step 5: Solve for x
    x = 50,292,258,204.50/308,440.90
  6. Step 6: Final answer
    x = 163,053.14

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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.