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Finding the Fourth Proportional to 509,371.12, 764,082.06 and 193,852.48

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Solution

The fourth proportional to 509,371.12, 764,082.06 and 193,852.48 is: 290,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,371.12 : 764,082.06 = 193,852.48 : x
  2. Step 2: Convert to fraction form
    509,371.12/764,082.06 = 193,852.48/x
  3. Step 3: Cross multiply
    509,371.12x = 764,082.06 × 193,852.48
  4. Step 4: Simplify right side
    509,371.12x = 148,119,199,617.36
  5. Step 5: Solve for x
    x = 148,119,199,617.36/509,371.12
  6. Step 6: Final answer
    x = 290,788.38

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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.