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Finding the Fourth Proportional to 359,029.14, 495,457.72 and 197,884.27

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Solution

The fourth proportional to 359,029.14, 495,457.72 and 197,884.27 is: 273,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,029.14 : 495,457.72 = 197,884.27 : x
  2. Step 2: Convert to fraction form
    359,029.14/495,457.72 = 197,884.27/x
  3. Step 3: Cross multiply
    359,029.14x = 495,457.72 × 197,884.27
  4. Step 4: Simplify right side
    359,029.14x = 98,043,289,238.06
  5. Step 5: Solve for x
    x = 98,043,289,238.06/359,029.14
  6. Step 6: Final answer
    x = 273,078.92

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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.