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Finding the Fourth Proportional to 359,198.59, 495,814.17 and 214,049.91

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Solution

The fourth proportional to 359,198.59, 495,814.17 and 214,049.91 is: 295,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,198.59 : 495,814.17 = 214,049.91 : x
  2. Step 2: Convert to fraction form
    359,198.59/495,814.17 = 214,049.91/x
  3. Step 3: Cross multiply
    359,198.59x = 495,814.17 × 214,049.91
  4. Step 4: Simplify right side
    359,198.59x = 106,128,978,465.23
  5. Step 5: Solve for x
    x = 106,128,978,465.23/359,198.59
  6. Step 6: Final answer
    x = 295,460.45

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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.