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Finding the Fourth Proportional to 509,533.60, 764,203.20 and 154,559.20

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Solution

The fourth proportional to 509,533.60, 764,203.20 and 154,559.20 is: 231,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,533.60 : 764,203.20 = 154,559.20 : x
  2. Step 2: Convert to fraction form
    509,533.60/764,203.20 = 154,559.20/x
  3. Step 3: Cross multiply
    509,533.60x = 764,203.20 × 154,559.20
  4. Step 4: Simplify right side
    509,533.60x = 118,114,635,229.44
  5. Step 5: Solve for x
    x = 118,114,635,229.44/509,533.60
  6. Step 6: Final answer
    x = 231,809.32

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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.