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Finding the Fourth Proportional to 264,829.76, 396,712.77 and 122,475.50

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Solution

The fourth proportional to 264,829.76, 396,712.77 and 122,475.50 is: 183,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.76 : 396,712.77 = 122,475.50 : x
  2. Step 2: Convert to fraction form
    264,829.76/396,712.77 = 122,475.50/x
  3. Step 3: Cross multiply
    264,829.76x = 396,712.77 × 122,475.50
  4. Step 4: Simplify right side
    264,829.76x = 48,587,594,862.14
  5. Step 5: Solve for x
    x = 48,587,594,862.14/264,829.76
  6. Step 6: Final answer
    x = 183,467.28

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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.