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Finding the Fourth Proportional to 363,225.60, 501,254.40 and 202,099.20

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Solution

The fourth proportional to 363,225.60, 501,254.40 and 202,099.20 is: 278,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,225.60 : 501,254.40 = 202,099.20 : x
  2. Step 2: Convert to fraction form
    363,225.60/501,254.40 = 202,099.20/x
  3. Step 3: Cross multiply
    363,225.60x = 501,254.40 × 202,099.20
  4. Step 4: Simplify right side
    363,225.60x = 101,303,113,236.48
  5. Step 5: Solve for x
    x = 101,303,113,236.48/363,225.60
  6. Step 6: Final answer
    x = 278,898.61

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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.