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Finding the Fourth Proportional to 365,530.08, 504,430.08 and 204,384.48

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Solution

The fourth proportional to 365,530.08, 504,430.08 and 204,384.48 is: 282,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,530.08 : 504,430.08 = 204,384.48 : x
  2. Step 2: Convert to fraction form
    365,530.08/504,430.08 = 204,384.48/x
  3. Step 3: Cross multiply
    365,530.08x = 504,430.08 × 204,384.48
  4. Step 4: Simplify right side
    365,530.08x = 103,097,679,597.16
  5. Step 5: Solve for x
    x = 103,097,679,597.16/365,530.08
  6. Step 6: Final answer
    x = 282,049.78

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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.