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Finding the Fourth Proportional to 414,420.46, 571,899.42 and 233,132.54

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Solution

The fourth proportional to 414,420.46, 571,899.42 and 233,132.54 is: 321,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,420.46 : 571,899.42 = 233,132.54 : x
  2. Step 2: Convert to fraction form
    414,420.46/571,899.42 = 233,132.54/x
  3. Step 3: Cross multiply
    414,420.46x = 571,899.42 × 233,132.54
  4. Step 4: Simplify right side
    414,420.46x = 133,328,364,409.13
  5. Step 5: Solve for x
    x = 133,328,364,409.13/414,420.46
  6. Step 6: Final answer
    x = 321,722.45

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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.