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Finding the Fourth Proportional to 275,283.60, 412,828.20 and 97,796.40

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Solution

The fourth proportional to 275,283.60, 412,828.20 and 97,796.40 is: 146,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,283.60 : 412,828.20 = 97,796.40 : x
  2. Step 2: Convert to fraction form
    275,283.60/412,828.20 = 97,796.40/x
  3. Step 3: Cross multiply
    275,283.60x = 412,828.20 × 97,796.40
  4. Step 4: Simplify right side
    275,283.60x = 40,373,111,778.48
  5. Step 5: Solve for x
    x = 40,373,111,778.48/275,283.60
  6. Step 6: Final answer
    x = 146,660.07

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1.5x scale

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.