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Finding the Fourth Proportional to 510,785.30, 764,795.55 and 400,193.30

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Solution

The fourth proportional to 510,785.30, 764,795.55 and 400,193.30 is: 599,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,785.30 : 764,795.55 = 400,193.30 : x
  2. Step 2: Convert to fraction form
    510,785.30/764,795.55 = 400,193.30/x
  3. Step 3: Cross multiply
    510,785.30x = 764,795.55 × 400,193.30
  4. Step 4: Simplify right side
    510,785.30x = 306,066,054,979.82
  5. Step 5: Solve for x
    x = 306,066,054,979.82/510,785.30
  6. Step 6: Final answer
    x = 599,206.86

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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.