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Finding the Fourth Proportional to 509,358.12, 764,062.65 and 193,839.54

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Solution

The fourth proportional to 509,358.12, 764,062.65 and 193,839.54 is: 290,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,358.12 : 764,062.65 = 193,839.54 : x
  2. Step 2: Convert to fraction form
    509,358.12/764,062.65 = 193,839.54/x
  3. Step 3: Cross multiply
    509,358.12x = 764,062.65 × 193,839.54
  4. Step 4: Simplify right side
    509,358.12x = 148,105,552,607.18
  5. Step 5: Solve for x
    x = 148,105,552,607.18/509,358.12
  6. Step 6: Final answer
    x = 290,769.00

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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.