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Finding the Fourth Proportional to 359,219.91, 495,756.74 and 206,278.14

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Solution

The fourth proportional to 359,219.91, 495,756.74 and 206,278.14 is: 284,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,219.91 : 495,756.74 = 206,278.14 : x
  2. Step 2: Convert to fraction form
    359,219.91/495,756.74 = 206,278.14/x
  3. Step 3: Cross multiply
    359,219.91x = 495,756.74 × 206,278.14
  4. Step 4: Simplify right side
    359,219.91x = 102,263,778,219.66
  5. Step 5: Solve for x
    x = 102,263,778,219.66/359,219.91
  6. Step 6: Final answer
    x = 284,682.93

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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.