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Finding the Fourth Proportional to 365,584.92, 548,422.50 and 178,455

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Solution

The fourth proportional to 365,584.92, 548,422.50 and 178,455 is: 267,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,584.92 : 548,422.50 = 178,455 : x
  2. Step 2: Convert to fraction form
    365,584.92/548,422.50 = 178,455/x
  3. Step 3: Cross multiply
    365,584.92x = 548,422.50 × 178,455
  4. Step 4: Simplify right side
    365,584.92x = 97,868,737,237.50
  5. Step 5: Solve for x
    x = 97,868,737,237.50/365,584.92
  6. Step 6: Final answer
    x = 267,704.52

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1.5x scale

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.