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Finding the Fourth Proportional to 424,120.32, 585,299.52 and 233,141.76

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Solution

The fourth proportional to 424,120.32, 585,299.52 and 233,141.76 is: 321,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,120.32 : 585,299.52 = 233,141.76 : x
  2. Step 2: Convert to fraction form
    424,120.32/585,299.52 = 233,141.76/x
  3. Step 3: Cross multiply
    424,120.32x = 585,299.52 × 233,141.76
  4. Step 4: Simplify right side
    424,120.32x = 136,457,760,219.96
  5. Step 5: Solve for x
    x = 136,457,760,219.96/424,120.32
  6. Step 6: Final answer
    x = 321,743.04

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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.