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Finding the Fourth Proportional to 493,762.50, 681,392.25 and 267,408

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Solution

The fourth proportional to 493,762.50, 681,392.25 and 267,408 is: 369,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,762.50 : 681,392.25 = 267,408 : x
  2. Step 2: Convert to fraction form
    493,762.50/681,392.25 = 267,408/x
  3. Step 3: Cross multiply
    493,762.50x = 681,392.25 × 267,408
  4. Step 4: Simplify right side
    493,762.50x = 182,209,738,788
  5. Step 5: Solve for x
    x = 182,209,738,788/493,762.50
  6. Step 6: Final answer
    x = 369,023.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.