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Finding the Fourth Proportional to 365,676.59, 504,636.91 and 204,546.63

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Solution

The fourth proportional to 365,676.59, 504,636.91 and 204,546.63 is: 282,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,676.59 : 504,636.91 = 204,546.63 : x
  2. Step 2: Convert to fraction form
    365,676.59/504,636.91 = 204,546.63/x
  3. Step 3: Cross multiply
    365,676.59x = 504,636.91 × 204,546.63
  4. Step 4: Simplify right side
    365,676.59x = 103,221,778,802.75
  5. Step 5: Solve for x
    x = 103,221,778,802.75/365,676.59
  6. Step 6: Final answer
    x = 282,276.14

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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.