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Finding the Fourth Proportional to 365,089.72, 503,808.78 and 203,944

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Solution

The fourth proportional to 365,089.72, 503,808.78 and 203,944 is: 281,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,089.72 : 503,808.78 = 203,944 : x
  2. Step 2: Convert to fraction form
    365,089.72/503,808.78 = 203,944/x
  3. Step 3: Cross multiply
    365,089.72x = 503,808.78 × 203,944
  4. Step 4: Simplify right side
    365,089.72x = 102,748,777,828.32
  5. Step 5: Solve for x
    x = 102,748,777,828.32/365,089.72
  6. Step 6: Final answer
    x = 281,434.32

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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.