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Finding the Fourth Proportional to 456,449.14, 681,329.44 and 402,581.71

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Solution

The fourth proportional to 456,449.14, 681,329.44 and 402,581.71 is: 600,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,449.14 : 681,329.44 = 402,581.71 : x
  2. Step 2: Convert to fraction form
    456,449.14/681,329.44 = 402,581.71/x
  3. Step 3: Cross multiply
    456,449.14x = 681,329.44 × 402,581.71
  4. Step 4: Simplify right side
    456,449.14x = 274,290,771,028.54
  5. Step 5: Solve for x
    x = 274,290,771,028.54/456,449.14
  6. Step 6: Final answer
    x = 600,922.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.