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Finding the Fourth Proportional to 414,314.16, 571,752.72 and 233,023.20

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Solution

The fourth proportional to 414,314.16, 571,752.72 and 233,023.20 is: 321,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,314.16 : 571,752.72 = 233,023.20 : x
  2. Step 2: Convert to fraction form
    414,314.16/571,752.72 = 233,023.20/x
  3. Step 3: Cross multiply
    414,314.16x = 571,752.72 × 233,023.20
  4. Step 4: Simplify right side
    414,314.16x = 133,231,648,423.10
  5. Step 5: Solve for x
    x = 133,231,648,423.10/414,314.16
  6. Step 6: Final answer
    x = 321,571.55

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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.