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Finding the Fourth Proportional to 509,977.20, 764,965.80 and 421,330.80

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Solution

The fourth proportional to 509,977.20, 764,965.80 and 421,330.80 is: 631,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,977.20 : 764,965.80 = 421,330.80 : x
  2. Step 2: Convert to fraction form
    509,977.20/764,965.80 = 421,330.80/x
  3. Step 3: Cross multiply
    509,977.20x = 764,965.80 × 421,330.80
  4. Step 4: Simplify right side
    509,977.20x = 322,303,652,486.64
  5. Step 5: Solve for x
    x = 322,303,652,486.64/509,977.20
  6. Step 6: Final answer
    x = 631,996.20

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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.