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Finding the Fourth Proportional to 402,407.20, 603,610.80 and 202,650.40

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Solution

The fourth proportional to 402,407.20, 603,610.80 and 202,650.40 is: 303,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,407.20 : 603,610.80 = 202,650.40 : x
  2. Step 2: Convert to fraction form
    402,407.20/603,610.80 = 202,650.40/x
  3. Step 3: Cross multiply
    402,407.20x = 603,610.80 × 202,650.40
  4. Step 4: Simplify right side
    402,407.20x = 122,321,970,064.32
  5. Step 5: Solve for x
    x = 122,321,970,064.32/402,407.20
  6. Step 6: Final answer
    x = 303,975.60

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