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Finding the Fourth Proportional to 412,005.80, 618,008.70 and 323,532.20

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Solution

The fourth proportional to 412,005.80, 618,008.70 and 323,532.20 is: 485,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,005.80 : 618,008.70 = 323,532.20 : x
  2. Step 2: Convert to fraction form
    412,005.80/618,008.70 = 323,532.20/x
  3. Step 3: Cross multiply
    412,005.80x = 618,008.70 × 323,532.20
  4. Step 4: Simplify right side
    412,005.80x = 199,945,714,330.14
  5. Step 5: Solve for x
    x = 199,945,714,330.14/412,005.80
  6. Step 6: Final answer
    x = 485,298.30

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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.