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Finding the Fourth Proportional to 386,468.34, 533,325.83 and 214,412.39

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Solution

The fourth proportional to 386,468.34, 533,325.83 and 214,412.39 is: 295,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,468.34 : 533,325.83 = 214,412.39 : x
  2. Step 2: Convert to fraction form
    386,468.34/533,325.83 = 214,412.39/x
  3. Step 3: Cross multiply
    386,468.34x = 533,325.83 × 214,412.39
  4. Step 4: Simplify right side
    386,468.34x = 114,351,665,859.03
  5. Step 5: Solve for x
    x = 114,351,665,859.03/386,468.34
  6. Step 6: Final answer
    x = 295,888.83

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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.