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Finding the Fourth Proportional to 386,957, 534,034.22 and 214,908.16

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Solution

The fourth proportional to 386,957, 534,034.22 and 214,908.16 is: 296,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,957 : 534,034.22 = 214,908.16 : x
  2. Step 2: Convert to fraction form
    386,957/534,034.22 = 214,908.16/x
  3. Step 3: Cross multiply
    386,957x = 534,034.22 × 214,908.16
  4. Step 4: Simplify right side
    386,957x = 114,768,311,597.24
  5. Step 5: Solve for x
    x = 114,768,311,597.24/386,957
  6. Step 6: Final answer
    x = 296,591.90

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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.