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Finding the Fourth Proportional to 297,696.01, 410,594.16 and 205,967.92

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Solution

The fourth proportional to 297,696.01, 410,594.16 and 205,967.92 is: 284,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,696.01 : 410,594.16 = 205,967.92 : x
  2. Step 2: Convert to fraction form
    297,696.01/410,594.16 = 205,967.92/x
  3. Step 3: Cross multiply
    297,696.01x = 410,594.16 × 205,967.92
  4. Step 4: Simplify right side
    297,696.01x = 84,569,225,099.35
  5. Step 5: Solve for x
    x = 84,569,225,099.35/297,696.01
  6. Step 6: Final answer
    x = 284,079.14

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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.