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Finding the Fourth Proportional to 410,192.30, 615,288.46 and 404,662.70

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Solution

The fourth proportional to 410,192.30, 615,288.46 and 404,662.70 is: 606,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,192.30 : 615,288.46 = 404,662.70 : x
  2. Step 2: Convert to fraction form
    410,192.30/615,288.46 = 404,662.70/x
  3. Step 3: Cross multiply
    410,192.30x = 615,288.46 × 404,662.70
  4. Step 4: Simplify right side
    410,192.30x = 248,984,289,502.44
  5. Step 5: Solve for x
    x = 248,984,289,502.44/410,192.30
  6. Step 6: Final answer
    x = 606,994.06

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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.