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Finding the Fourth Proportional to 301,585.92, 415,957.95 and 204,864.35

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Solution

The fourth proportional to 301,585.92, 415,957.95 and 204,864.35 is: 282,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,585.92 : 415,957.95 = 204,864.35 : x
  2. Step 2: Convert to fraction form
    301,585.92/415,957.95 = 204,864.35/x
  3. Step 3: Cross multiply
    301,585.92x = 415,957.95 × 204,864.35
  4. Step 4: Simplify right side
    301,585.92x = 85,214,954,029.76
  5. Step 5: Solve for x
    x = 85,214,954,029.76/301,585.92
  6. Step 6: Final answer
    x = 282,556.14

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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.