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Finding the Fourth Proportional to 382,100.30, 573,733.65 and 293,453.90

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Solution

The fourth proportional to 382,100.30, 573,733.65 and 293,453.90 is: 440,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,100.30 : 573,733.65 = 293,453.90 : x
  2. Step 2: Convert to fraction form
    382,100.30/573,733.65 = 293,453.90/x
  3. Step 3: Cross multiply
    382,100.30x = 573,733.65 × 293,453.90
  4. Step 4: Simplify right side
    382,100.30x = 168,364,377,153.74
  5. Step 5: Solve for x
    x = 168,364,377,153.74/382,100.30
  6. Step 6: Final answer
    x = 440,628.75

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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.