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Finding the Fourth Proportional to 331,830.60, 497,907.90 and 154,246.20

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Solution

The fourth proportional to 331,830.60, 497,907.90 and 154,246.20 is: 231,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830.60 : 497,907.90 = 154,246.20 : x
  2. Step 2: Convert to fraction form
    331,830.60/497,907.90 = 154,246.20/x
  3. Step 3: Cross multiply
    331,830.60x = 497,907.90 × 154,246.20
  4. Step 4: Simplify right side
    331,830.60x = 76,800,401,524.98
  5. Step 5: Solve for x
    x = 76,800,401,524.98/331,830.60
  6. Step 6: Final answer
    x = 231,444.60

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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.