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Finding the Fourth Proportional to 424,808.64, 586,231.30 and 233,817.92

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Solution

The fourth proportional to 424,808.64, 586,231.30 and 233,817.92 is: 322,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,808.64 : 586,231.30 = 233,817.92 : x
  2. Step 2: Convert to fraction form
    424,808.64/586,231.30 = 233,817.92/x
  3. Step 3: Cross multiply
    424,808.64x = 586,231.30 × 233,817.92
  4. Step 4: Simplify right side
    424,808.64x = 137,071,383,204.90
  5. Step 5: Solve for x
    x = 137,071,383,204.90/424,808.64
  6. Step 6: Final answer
    x = 322,666.18

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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.