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Finding the Fourth Proportional to 395,265.43, 545,465.66 and 213,977.30

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Solution

The fourth proportional to 395,265.43, 545,465.66 and 213,977.30 is: 295,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,265.43 : 545,465.66 = 213,977.30 : x
  2. Step 2: Convert to fraction form
    395,265.43/545,465.66 = 213,977.30/x
  3. Step 3: Cross multiply
    395,265.43x = 545,465.66 × 213,977.30
  4. Step 4: Simplify right side
    395,265.43x = 116,717,269,644.17
  5. Step 5: Solve for x
    x = 116,717,269,644.17/395,265.43
  6. Step 6: Final answer
    x = 295,288.34

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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.