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Finding the Fourth Proportional to 533,122.66, 799,725.30 and 178,137.94

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Solution

The fourth proportional to 533,122.66, 799,725.30 and 178,137.94 is: 267,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,122.66 : 799,725.30 = 178,137.94 : x
  2. Step 2: Convert to fraction form
    533,122.66/799,725.30 = 178,137.94/x
  3. Step 3: Cross multiply
    533,122.66x = 799,725.30 × 178,137.94
  4. Step 4: Simplify right side
    533,122.66x = 142,461,413,509.26
  5. Step 5: Solve for x
    x = 142,461,413,509.26/533,122.66
  6. Step 6: Final answer
    x = 267,220.71

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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.