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Finding the Fourth Proportional to 382,284, 573,495.17 and 157,519.44

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Solution

The fourth proportional to 382,284, 573,495.17 and 157,519.44 is: 236,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,284 : 573,495.17 = 157,519.44 : x
  2. Step 2: Convert to fraction form
    382,284/573,495.17 = 157,519.44/x
  3. Step 3: Cross multiply
    382,284x = 573,495.17 × 157,519.44
  4. Step 4: Simplify right side
    382,284x = 90,336,637,233.51
  5. Step 5: Solve for x
    x = 90,336,637,233.51/382,284
  6. Step 6: Final answer
    x = 236,307.66

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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.