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Finding the Fourth Proportional to 414,774.42, 572,382.34 and 233,485.78

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Solution

The fourth proportional to 414,774.42, 572,382.34 and 233,485.78 is: 322,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,774.42 : 572,382.34 = 233,485.78 : x
  2. Step 2: Convert to fraction form
    414,774.42/572,382.34 = 233,485.78/x
  3. Step 3: Cross multiply
    414,774.42x = 572,382.34 × 233,485.78
  4. Step 4: Simplify right side
    414,774.42x = 133,643,137,113.13
  5. Step 5: Solve for x
    x = 133,643,137,113.13/414,774.42
  6. Step 6: Final answer
    x = 322,206.80

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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.