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Finding the Fourth Proportional to 359,325.46, 495,353.82 and 282,712.42

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Solution

The fourth proportional to 359,325.46, 495,353.82 and 282,712.42 is: 389,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,325.46 : 495,353.82 = 282,712.42 : x
  2. Step 2: Convert to fraction form
    359,325.46/495,353.82 = 282,712.42/x
  3. Step 3: Cross multiply
    359,325.46x = 495,353.82 × 282,712.42
  4. Step 4: Simplify right side
    359,325.46x = 140,042,677,208.44
  5. Step 5: Solve for x
    x = 140,042,677,208.44/359,325.46
  6. Step 6: Final answer
    x = 389,737.70

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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.