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Finding the Fourth Proportional to 308,274.34, 462,442.27 and 83,638.48

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Solution

The fourth proportional to 308,274.34, 462,442.27 and 83,638.48 is: 125,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,274.34 : 462,442.27 = 83,638.48 : x
  2. Step 2: Convert to fraction form
    308,274.34/462,442.27 = 83,638.48/x
  3. Step 3: Cross multiply
    308,274.34x = 462,442.27 × 83,638.48
  4. Step 4: Simplify right side
    308,274.34x = 38,677,968,550.55
  5. Step 5: Solve for x
    x = 38,677,968,550.55/308,274.34
  6. Step 6: Final answer
    x = 125,466.07

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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.