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Finding the Fourth Proportional to 424,208.50, 585,411.54 and 230,616.61

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Solution

The fourth proportional to 424,208.50, 585,411.54 and 230,616.61 is: 318,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,208.50 : 585,411.54 = 230,616.61 : x
  2. Step 2: Convert to fraction form
    424,208.50/585,411.54 = 230,616.61/x
  3. Step 3: Cross multiply
    424,208.50x = 585,411.54 × 230,616.61
  4. Step 4: Simplify right side
    424,208.50x = 135,005,624,809.68
  5. Step 5: Solve for x
    x = 135,005,624,809.68/424,208.50
  6. Step 6: Final answer
    x = 318,252.99

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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.