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Finding the Fourth Proportional to 509,324.58, 764,318.58 and 193,784.22

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Solution

The fourth proportional to 509,324.58, 764,318.58 and 193,784.22 is: 290,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,324.58 : 764,318.58 = 193,784.22 : x
  2. Step 2: Convert to fraction form
    509,324.58/764,318.58 = 193,784.22/x
  3. Step 3: Cross multiply
    509,324.58x = 764,318.58 × 193,784.22
  4. Step 4: Simplify right side
    509,324.58x = 148,112,879,856.81
  5. Step 5: Solve for x
    x = 148,112,879,856.81/509,324.58
  6. Step 6: Final answer
    x = 290,802.54

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1.5x scale

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.