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Finding the Fourth Proportional to 365,150, 503,903.56 and 204,032.80

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Solution

The fourth proportional to 365,150, 503,903.56 and 204,032.80 is: 281,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,150 : 503,903.56 = 204,032.80 : x
  2. Step 2: Convert to fraction form
    365,150/503,903.56 = 204,032.80/x
  3. Step 3: Cross multiply
    365,150x = 503,903.56 × 204,032.80
  4. Step 4: Simplify right side
    365,150x = 102,812,854,276.77
  5. Step 5: Solve for x
    x = 102,812,854,276.77/365,150
  6. Step 6: Final answer
    x = 281,563.34

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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.