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Finding the Fourth Proportional to 301,585.42, 415,957.26 and 204,863.85

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Solution

The fourth proportional to 301,585.42, 415,957.26 and 204,863.85 is: 282,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,585.42 : 415,957.26 = 204,863.85 : x
  2. Step 2: Convert to fraction form
    301,585.42/415,957.26 = 204,863.85/x
  3. Step 3: Cross multiply
    301,585.42x = 415,957.26 × 204,863.85
  4. Step 4: Simplify right side
    301,585.42x = 85,214,604,686.94
  5. Step 5: Solve for x
    x = 85,214,604,686.94/301,585.42
  6. Step 6: Final answer
    x = 282,555.45

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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.