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Finding the Fourth Proportional to 363,743.46, 501,792.12 and 282,615.78

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Solution

The fourth proportional to 363,743.46, 501,792.12 and 282,615.78 is: 389,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,743.46 : 501,792.12 = 282,615.78 : x
  2. Step 2: Convert to fraction form
    363,743.46/501,792.12 = 282,615.78/x
  3. Step 3: Cross multiply
    363,743.46x = 501,792.12 × 282,615.78
  4. Step 4: Simplify right side
    363,743.46x = 141,814,371,391.65
  5. Step 5: Solve for x
    x = 141,814,371,391.65/363,743.46
  6. Step 6: Final answer
    x = 389,874.70

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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.