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Finding the Fourth Proportional to 284,083.56, 426,140.02 and 269,718.08

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Solution

The fourth proportional to 284,083.56, 426,140.02 and 269,718.08 is: 404,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,083.56 : 426,140.02 = 269,718.08 : x
  2. Step 2: Convert to fraction form
    284,083.56/426,140.02 = 269,718.08/x
  3. Step 3: Cross multiply
    284,083.56x = 426,140.02 × 269,718.08
  4. Step 4: Simplify right side
    284,083.56x = 114,937,668,005.56
  5. Step 5: Solve for x
    x = 114,937,668,005.56/284,083.56
  6. Step 6: Final answer
    x = 404,591.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.