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Finding the Fourth Proportional to 365,102.31, 503,823.20 and 203,925.27

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Solution

The fourth proportional to 365,102.31, 503,823.20 and 203,925.27 is: 281,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,102.31 : 503,823.20 = 203,925.27 : x
  2. Step 2: Convert to fraction form
    365,102.31/503,823.20 = 203,925.27/x
  3. Step 3: Cross multiply
    365,102.31x = 503,823.20 × 203,925.27
  4. Step 4: Simplify right side
    365,102.31x = 102,742,281,072.64
  5. Step 5: Solve for x
    x = 102,742,281,072.64/365,102.31
  6. Step 6: Final answer
    x = 281,406.82

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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.