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Finding the Fourth Proportional to 359,028.50, 495,470.38 and 206,094.62

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Solution

The fourth proportional to 359,028.50, 495,470.38 and 206,094.62 is: 284,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,028.50 : 495,470.38 = 206,094.62 : x
  2. Step 2: Convert to fraction form
    359,028.50/495,470.38 = 206,094.62/x
  3. Step 3: Cross multiply
    359,028.50x = 495,470.38 × 206,094.62
  4. Step 4: Simplify right side
    359,028.50x = 102,113,782,305.87
  5. Step 5: Solve for x
    x = 102,113,782,305.87/359,028.50
  6. Step 6: Final answer
    x = 284,416.93

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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.