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Finding the Fourth Proportional to 413,620.30, 620,430.45 and 271,902.70

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Solution

The fourth proportional to 413,620.30, 620,430.45 and 271,902.70 is: 407,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,620.30 : 620,430.45 = 271,902.70 : x
  2. Step 2: Convert to fraction form
    413,620.30/620,430.45 = 271,902.70/x
  3. Step 3: Cross multiply
    413,620.30x = 620,430.45 × 271,902.70
  4. Step 4: Simplify right side
    413,620.30x = 168,696,714,517.22
  5. Step 5: Solve for x
    x = 168,696,714,517.22/413,620.30
  6. Step 6: Final answer
    x = 407,854.05

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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.