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Finding the Fourth Proportional to 414,145.04, 570,109.74 and 306,512.24

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Solution

The fourth proportional to 414,145.04, 570,109.74 and 306,512.24 is: 421,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,145.04 : 570,109.74 = 306,512.24 : x
  2. Step 2: Convert to fraction form
    414,145.04/570,109.74 = 306,512.24/x
  3. Step 3: Cross multiply
    414,145.04x = 570,109.74 × 306,512.24
  4. Step 4: Simplify right side
    414,145.04x = 174,745,613,453.22
  5. Step 5: Solve for x
    x = 174,745,613,453.22/414,145.04
  6. Step 6: Final answer
    x = 421,943.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.