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Finding the Fourth Proportional to 402,407.20, 603,683.70 and 202,223.80

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Solution

The fourth proportional to 402,407.20, 603,683.70 and 202,223.80 is: 303,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,407.20 : 603,683.70 = 202,223.80 : x
  2. Step 2: Convert to fraction form
    402,407.20/603,683.70 = 202,223.80/x
  3. Step 3: Cross multiply
    402,407.20x = 603,683.70 × 202,223.80
  4. Step 4: Simplify right side
    402,407.20x = 122,079,211,812.06
  5. Step 5: Solve for x
    x = 122,079,211,812.06/402,407.20
  6. Step 6: Final answer
    x = 303,372.33

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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.