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Finding the Fourth Proportional to 275,453.60, 413,083.20 and 97,966.40

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Solution

The fourth proportional to 275,453.60, 413,083.20 and 97,966.40 is: 146,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,453.60 : 413,083.20 = 97,966.40 : x
  2. Step 2: Convert to fraction form
    275,453.60/413,083.20 = 97,966.40/x
  3. Step 3: Cross multiply
    275,453.60x = 413,083.20 × 97,966.40
  4. Step 4: Simplify right side
    275,453.60x = 40,468,274,004.48
  5. Step 5: Solve for x
    x = 40,468,274,004.48/275,453.60
  6. Step 6: Final answer
    x = 146,915.03

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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.