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Finding the Fourth Proportional to 388,014.76, 535,467.54 and 215,947

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Solution

The fourth proportional to 388,014.76, 535,467.54 and 215,947 is: 298,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,014.76 : 535,467.54 = 215,947 : x
  2. Step 2: Convert to fraction form
    388,014.76/535,467.54 = 215,947/x
  3. Step 3: Cross multiply
    388,014.76x = 535,467.54 × 215,947
  4. Step 4: Simplify right side
    388,014.76x = 115,632,608,860.38
  5. Step 5: Solve for x
    x = 115,632,608,860.38/388,014.76
  6. Step 6: Final answer
    x = 298,010.85

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Why These Related Problems?

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