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Finding the Fourth Proportional to 437,821.60, 658,114.80 and 412,938.40

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Solution

The fourth proportional to 437,821.60, 658,114.80 and 412,938.40 is: 620,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,821.60 : 658,114.80 = 412,938.40 : x
  2. Step 2: Convert to fraction form
    437,821.60/658,114.80 = 412,938.40/x
  3. Step 3: Cross multiply
    437,821.60x = 658,114.80 × 412,938.40
  4. Step 4: Simplify right side
    437,821.60x = 271,760,872,528.32
  5. Step 5: Solve for x
    x = 271,760,872,528.32/437,821.60
  6. Step 6: Final answer
    x = 620,711.43

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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.