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Finding the Fourth Proportional to 382,093.80, 573,723.90 and 293,447.40

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Solution

The fourth proportional to 382,093.80, 573,723.90 and 293,447.40 is: 440,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,093.80 : 573,723.90 = 293,447.40 : x
  2. Step 2: Convert to fraction form
    382,093.80/573,723.90 = 293,447.40/x
  3. Step 3: Cross multiply
    382,093.80x = 573,723.90 × 293,447.40
  4. Step 4: Simplify right side
    382,093.80x = 168,357,786,772.86
  5. Step 5: Solve for x
    x = 168,357,786,772.86/382,093.80
  6. Step 6: Final answer
    x = 440,619.00

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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.