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Finding the Fourth Proportional to 359,345.94, 495,879.03 and 206,277.81

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Solution

The fourth proportional to 359,345.94, 495,879.03 and 206,277.81 is: 284,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,345.94 : 495,879.03 = 206,277.81 : x
  2. Step 2: Convert to fraction form
    359,345.94/495,879.03 = 206,277.81/x
  3. Step 3: Cross multiply
    359,345.94x = 495,879.03 × 206,277.81
  4. Step 4: Simplify right side
    359,345.94x = 102,288,840,333.32
  5. Step 5: Solve for x
    x = 102,288,840,333.32/359,345.94
  6. Step 6: Final answer
    x = 284,652.83

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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.