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Finding the Fourth Proportional to 253,009.53, 379,576.59 and 178,275.64

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Solution

The fourth proportional to 253,009.53, 379,576.59 and 178,275.64 is: 267,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,009.53 : 379,576.59 = 178,275.64 : x
  2. Step 2: Convert to fraction form
    253,009.53/379,576.59 = 178,275.64/x
  3. Step 3: Cross multiply
    253,009.53x = 379,576.59 × 178,275.64
  4. Step 4: Simplify right side
    253,009.53x = 67,669,259,511.27
  5. Step 5: Solve for x
    x = 67,669,259,511.27/253,009.53
  6. Step 6: Final answer
    x = 267,457.35

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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.