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Finding the Fourth Proportional to 523,327.20, 785,912.40 and 405,285.60

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Solution

The fourth proportional to 523,327.20, 785,912.40 and 405,285.60 is: 608,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,327.20 : 785,912.40 = 405,285.60 : x
  2. Step 2: Convert to fraction form
    523,327.20/785,912.40 = 405,285.60/x
  3. Step 3: Cross multiply
    523,327.20x = 785,912.40 × 405,285.60
  4. Step 4: Simplify right side
    523,327.20x = 318,518,978,581.44
  5. Step 5: Solve for x
    x = 318,518,978,581.44/523,327.20
  6. Step 6: Final answer
    x = 608,642.12

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Why These Related Problems?

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