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Finding the Fourth Proportional to 414,580.21, 572,076.57 and 233,288.98

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Solution

The fourth proportional to 414,580.21, 572,076.57 and 233,288.98 is: 321,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,580.21 : 572,076.57 = 233,288.98 : x
  2. Step 2: Convert to fraction form
    414,580.21/572,076.57 = 233,288.98/x
  3. Step 3: Cross multiply
    414,580.21x = 572,076.57 × 233,288.98
  4. Step 4: Simplify right side
    414,580.21x = 133,459,158,941.84
  5. Step 5: Solve for x
    x = 133,459,158,941.84/414,580.21
  6. Step 6: Final answer
    x = 321,913.97

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Why These Related Problems?

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