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Finding the Fourth Proportional to 438,806.40, 658,015.20 and 202,221.60

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Solution

The fourth proportional to 438,806.40, 658,015.20 and 202,221.60 is: 303,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,806.40 : 658,015.20 = 202,221.60 : x
  2. Step 2: Convert to fraction form
    438,806.40/658,015.20 = 202,221.60/x
  3. Step 3: Cross multiply
    438,806.40x = 658,015.20 × 202,221.60
  4. Step 4: Simplify right side
    438,806.40x = 133,064,886,568.32
  5. Step 5: Solve for x
    x = 133,064,886,568.32/438,806.40
  6. Step 6: Final answer
    x = 303,242.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.