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Finding the Fourth Proportional to 365,946.08, 504,993.56 and 204,796.98

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Solution

The fourth proportional to 365,946.08, 504,993.56 and 204,796.98 is: 282,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,946.08 : 504,993.56 = 204,796.98 : x
  2. Step 2: Convert to fraction form
    365,946.08/504,993.56 = 204,796.98/x
  3. Step 3: Cross multiply
    365,946.08x = 504,993.56 × 204,796.98
  4. Step 4: Simplify right side
    365,946.08x = 103,421,154,983.46
  5. Step 5: Solve for x
    x = 103,421,154,983.46/365,946.08
  6. Step 6: Final answer
    x = 282,613.10

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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.