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Finding the Fourth Proportional to 359,324.46, 495,352.44 and 282,711.42

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Solution

The fourth proportional to 359,324.46, 495,352.44 and 282,711.42 is: 389,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,324.46 : 495,352.44 = 282,711.42 : x
  2. Step 2: Convert to fraction form
    359,324.46/495,352.44 = 282,711.42/x
  3. Step 3: Cross multiply
    359,324.46x = 495,352.44 × 282,711.42
  4. Step 4: Simplify right side
    359,324.46x = 140,041,791,712.87
  5. Step 5: Solve for x
    x = 140,041,791,712.87/359,324.46
  6. Step 6: Final answer
    x = 389,736.32

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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.