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Finding the Fourth Proportional to 365,096.58, 503,797.05 and 203,948.16

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Solution

The fourth proportional to 365,096.58, 503,797.05 and 203,948.16 is: 281,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,096.58 : 503,797.05 = 203,948.16 : x
  2. Step 2: Convert to fraction form
    365,096.58/503,797.05 = 203,948.16/x
  3. Step 3: Cross multiply
    365,096.58x = 503,797.05 × 203,948.16
  4. Step 4: Simplify right side
    365,096.58x = 102,748,481,360.93
  5. Step 5: Solve for x
    x = 102,748,481,360.93/365,096.58
  6. Step 6: Final answer
    x = 281,428.22

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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.