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Finding the Fourth Proportional to 275,407.56, 412,994.70 and 97,959.24

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Solution

The fourth proportional to 275,407.56, 412,994.70 and 97,959.24 is: 146,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,407.56 : 412,994.70 = 97,959.24 : x
  2. Step 2: Convert to fraction form
    275,407.56/412,994.70 = 97,959.24/x
  3. Step 3: Cross multiply
    275,407.56x = 412,994.70 × 97,959.24
  4. Step 4: Simplify right side
    275,407.56x = 40,456,646,936.03
  5. Step 5: Solve for x
    x = 40,456,646,936.03/275,407.56
  6. Step 6: Final answer
    x = 146,897.37

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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.