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Finding the Fourth Proportional to 522,462.12, 783,702.90 and 148,494.84

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Solution

The fourth proportional to 522,462.12, 783,702.90 and 148,494.84 is: 222,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,462.12 : 783,702.90 = 148,494.84 : x
  2. Step 2: Convert to fraction form
    522,462.12/783,702.90 = 148,494.84/x
  3. Step 3: Cross multiply
    522,462.12x = 783,702.90 × 148,494.84
  4. Step 4: Simplify right side
    522,462.12x = 116,375,836,743.04
  5. Step 5: Solve for x
    x = 116,375,836,743.04/522,462.12
  6. Step 6: Final answer
    x = 222,745.02

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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.