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Finding the Fourth Proportional to 410,273.57, 615,213.43 and 193,952.21

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Solution

The fourth proportional to 410,273.57, 615,213.43 and 193,952.21 is: 290,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,273.57 : 615,213.43 = 193,952.21 : x
  2. Step 2: Convert to fraction form
    410,273.57/615,213.43 = 193,952.21/x
  3. Step 3: Cross multiply
    410,273.57x = 615,213.43 × 193,952.21
  4. Step 4: Simplify right side
    410,273.57x = 119,322,000,809.23
  5. Step 5: Solve for x
    x = 119,322,000,809.23/410,273.57
  6. Step 6: Final answer
    x = 290,835.21

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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.