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Finding the Fourth Proportional to 297,389.00, 410,582.59 and 204,414.77

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Solution

The fourth proportional to 297,389.00, 410,582.59 and 204,414.77 is: 282,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,389.00 : 410,582.59 = 204,414.77 : x
  2. Step 2: Convert to fraction form
    297,389.00/410,582.59 = 204,414.77/x
  3. Step 3: Cross multiply
    297,389.00x = 410,582.59 × 204,414.77
  4. Step 4: Simplify right side
    297,389.00x = 83,929,146,216.27
  5. Step 5: Solve for x
    x = 83,929,146,216.27/297,389.00
  6. Step 6: Final answer
    x = 282,220.07

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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.