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Finding the Fourth Proportional to 382,375.15, 527,743.76 and 221,319

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Solution

The fourth proportional to 382,375.15, 527,743.76 and 221,319 is: 305,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,375.15 : 527,743.76 = 221,319 : x
  2. Step 2: Convert to fraction form
    382,375.15/527,743.76 = 221,319/x
  3. Step 3: Cross multiply
    382,375.15x = 527,743.76 × 221,319
  4. Step 4: Simplify right side
    382,375.15x = 116,799,720,112.85
  5. Step 5: Solve for x
    x = 116,799,720,112.85/382,375.15
  6. Step 6: Final answer
    x = 305,458.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.