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Finding the Fourth Proportional to 509,400.80, 764,101.20 and 243,680.30

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Solution

The fourth proportional to 509,400.80, 764,101.20 and 243,680.30 is: 365,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,400.80 : 764,101.20 = 243,680.30 : x
  2. Step 2: Convert to fraction form
    509,400.80/764,101.20 = 243,680.30/x
  3. Step 3: Cross multiply
    509,400.80x = 764,101.20 × 243,680.30
  4. Step 4: Simplify right side
    509,400.80x = 186,196,409,646.36
  5. Step 5: Solve for x
    x = 186,196,409,646.36/509,400.80
  6. Step 6: Final answer
    x = 365,520.45

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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.