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Finding the Fourth Proportional to 424,220.94, 585,423.45 and 233,233.74

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Solution

The fourth proportional to 424,220.94, 585,423.45 and 233,233.74 is: 321,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,220.94 : 585,423.45 = 233,233.74 : x
  2. Step 2: Convert to fraction form
    424,220.94/585,423.45 = 233,233.74/x
  3. Step 3: Cross multiply
    424,220.94x = 585,423.45 × 233,233.74
  4. Step 4: Simplify right side
    424,220.94x = 136,540,500,727.20
  5. Step 5: Solve for x
    x = 136,540,500,727.20/424,220.94
  6. Step 6: Final answer
    x = 321,861.77

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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.