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Finding the Fourth Proportional to 413,435.20, 620,152.80 and 320,123.20

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Solution

The fourth proportional to 413,435.20, 620,152.80 and 320,123.20 is: 480,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,435.20 : 620,152.80 = 320,123.20 : x
  2. Step 2: Convert to fraction form
    413,435.20/620,152.80 = 320,123.20/x
  3. Step 3: Cross multiply
    413,435.20x = 620,152.80 × 320,123.20
  4. Step 4: Simplify right side
    413,435.20x = 198,525,298,824.96
  5. Step 5: Solve for x
    x = 198,525,298,824.96/413,435.20
  6. Step 6: Final answer
    x = 480,184.80

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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.