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Finding the Fourth Proportional to 384,765, 531,034.02 and 233,832.84

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Solution

The fourth proportional to 384,765, 531,034.02 and 233,832.84 is: 322,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,765 : 531,034.02 = 233,832.84 : x
  2. Step 2: Convert to fraction form
    384,765/531,034.02 = 233,832.84/x
  3. Step 3: Cross multiply
    384,765x = 531,034.02 × 233,832.84
  4. Step 4: Simplify right side
    384,765x = 124,173,193,033.22
  5. Step 5: Solve for x
    x = 124,173,193,033.22/384,765
  6. Step 6: Final answer
    x = 322,724.76

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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.