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Finding the Fourth Proportional to 497,745.90, 746,728.20 and 160,729.20

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Solution

The fourth proportional to 497,745.90, 746,728.20 and 160,729.20 is: 241,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,745.90 : 746,728.20 = 160,729.20 : x
  2. Step 2: Convert to fraction form
    497,745.90/746,728.20 = 160,729.20/x
  3. Step 3: Cross multiply
    497,745.90x = 746,728.20 × 160,729.20
  4. Step 4: Simplify right side
    497,745.90x = 120,021,026,203.44
  5. Step 5: Solve for x
    x = 120,021,026,203.44/497,745.90
  6. Step 6: Final answer
    x = 241,129.11

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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.