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Finding the Fourth Proportional to 289,978.92, 400,144.02 and 162,629.88

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Solution

The fourth proportional to 289,978.92, 400,144.02 and 162,629.88 is: 224,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,978.92 : 400,144.02 = 162,629.88 : x
  2. Step 2: Convert to fraction form
    289,978.92/400,144.02 = 162,629.88/x
  3. Step 3: Cross multiply
    289,978.92x = 400,144.02 × 162,629.88
  4. Step 4: Simplify right side
    289,978.92x = 65,075,373,955.32
  5. Step 5: Solve for x
    x = 65,075,373,955.32/289,978.92
  6. Step 6: Final answer
    x = 224,414.15

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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.