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Finding the Fourth Proportional to 509,974.05, 764,961.08 and 230,038.05

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Solution

The fourth proportional to 509,974.05, 764,961.08 and 230,038.05 is: 345,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,974.05 : 764,961.08 = 230,038.05 : x
  2. Step 2: Convert to fraction form
    509,974.05/764,961.08 = 230,038.05/x
  3. Step 3: Cross multiply
    509,974.05x = 764,961.08 × 230,038.05
  4. Step 4: Simplify right side
    509,974.05x = 175,970,154,018.90
  5. Step 5: Solve for x
    x = 175,970,154,018.90/509,974.05
  6. Step 6: Final answer
    x = 345,057.08

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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.