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Finding the Fourth Proportional to 382,342.84, 573,583.52 and 157,578.18

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Solution

The fourth proportional to 382,342.84, 573,583.52 and 157,578.18 is: 236,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,342.84 : 573,583.52 = 157,578.18 : x
  2. Step 2: Convert to fraction form
    382,342.84/573,583.52 = 157,578.18/x
  3. Step 3: Cross multiply
    382,342.84x = 573,583.52 × 157,578.18
  4. Step 4: Simplify right side
    382,342.84x = 90,384,247,159.59
  5. Step 5: Solve for x
    x = 90,384,247,159.59/382,342.84
  6. Step 6: Final answer
    x = 236,395.81

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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.