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Finding the Fourth Proportional to 394,953.04, 545,034.45 and 213,665.14

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Solution

The fourth proportional to 394,953.04, 545,034.45 and 213,665.14 is: 294,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,953.04 : 545,034.45 = 213,665.14 : x
  2. Step 2: Convert to fraction form
    394,953.04/545,034.45 = 213,665.14/x
  3. Step 3: Cross multiply
    394,953.04x = 545,034.45 × 213,665.14
  4. Step 4: Simplify right side
    394,953.04x = 116,454,862,064.07
  5. Step 5: Solve for x
    x = 116,454,862,064.07/394,953.04
  6. Step 6: Final answer
    x = 294,857.49

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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.