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Finding the Fourth Proportional to 382,593.20, 573,867.66 and 145,959.80

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Solution

The fourth proportional to 382,593.20, 573,867.66 and 145,959.80 is: 218,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,593.20 : 573,867.66 = 145,959.80 : x
  2. Step 2: Convert to fraction form
    382,593.20/573,867.66 = 145,959.80/x
  3. Step 3: Cross multiply
    382,593.20x = 573,867.66 × 145,959.80
  4. Step 4: Simplify right side
    382,593.20x = 83,761,608,880.07
  5. Step 5: Solve for x
    x = 83,761,608,880.07/382,593.20
  6. Step 6: Final answer
    x = 218,931.25

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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.