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Finding the Fourth Proportional to 275,252, 379,848.40 and 160,609.46

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Solution

The fourth proportional to 275,252, 379,848.40 and 160,609.46 is: 221,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,252 : 379,848.40 = 160,609.46 : x
  2. Step 2: Convert to fraction form
    275,252/379,848.40 = 160,609.46/x
  3. Step 3: Cross multiply
    275,252x = 379,848.40 × 160,609.46
  4. Step 4: Simplify right side
    275,252x = 61,007,246,405.86
  5. Step 5: Solve for x
    x = 61,007,246,405.86/275,252
  6. Step 6: Final answer
    x = 221,641.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.