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Finding the Fourth Proportional to 414,317.16, 571,756.86 and 233,026.20

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Solution

The fourth proportional to 414,317.16, 571,756.86 and 233,026.20 is: 321,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,317.16 : 571,756.86 = 233,026.20 : x
  2. Step 2: Convert to fraction form
    414,317.16/571,756.86 = 233,026.20/x
  3. Step 3: Cross multiply
    414,317.16x = 571,756.86 × 233,026.20
  4. Step 4: Simplify right side
    414,317.16x = 133,234,328,409.73
  5. Step 5: Solve for x
    x = 133,234,328,409.73/414,317.16
  6. Step 6: Final answer
    x = 321,575.69

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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.