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Finding the Fourth Proportional to 408,245.72, 563,654.01 and 365,091.32

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Solution

The fourth proportional to 408,245.72, 563,654.01 and 365,091.32 is: 504,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,245.72 : 563,654.01 = 365,091.32 : x
  2. Step 2: Convert to fraction form
    408,245.72/563,654.01 = 365,091.32/x
  3. Step 3: Cross multiply
    408,245.72x = 563,654.01 × 365,091.32
  4. Step 4: Simplify right side
    408,245.72x = 205,785,186,534.19
  5. Step 5: Solve for x
    x = 205,785,186,534.19/408,245.72
  6. Step 6: Final answer
    x = 504,071.88

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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.