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Finding the Fourth Proportional to 284,623.84, 392,805.78 and 157,324.24

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Solution

The fourth proportional to 284,623.84, 392,805.78 and 157,324.24 is: 217,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,623.84 : 392,805.78 = 157,324.24 : x
  2. Step 2: Convert to fraction form
    284,623.84/392,805.78 = 157,324.24/x
  3. Step 3: Cross multiply
    284,623.84x = 392,805.78 × 157,324.24
  4. Step 4: Simplify right side
    284,623.84x = 61,797,870,806.11
  5. Step 5: Solve for x
    x = 61,797,870,806.11/284,623.84
  6. Step 6: Final answer
    x = 217,121.20

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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.