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Finding the Fourth Proportional to 331,808.10, 497,712.15 and 306,147.30

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Solution

The fourth proportional to 331,808.10, 497,712.15 and 306,147.30 is: 459,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,808.10 : 497,712.15 = 306,147.30 : x
  2. Step 2: Convert to fraction form
    331,808.10/497,712.15 = 306,147.30/x
  3. Step 3: Cross multiply
    331,808.10x = 497,712.15 × 306,147.30
  4. Step 4: Simplify right side
    331,808.10x = 152,373,230,899.70
  5. Step 5: Solve for x
    x = 152,373,230,899.70/331,808.10
  6. Step 6: Final answer
    x = 459,220.95

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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.